Homological And Combinatorial Methods In Algebra

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Categorical, Homological and Combinatorial Methods in Algebra

Ashish K. Srivastava,André Leroy,Ivo Herzog,Pedro A. Guil Asensio
Categorical Homological and Combinatorial Methods in Algebra Book PDF

Author : Ashish K. Srivastava,André Leroy,Ivo Herzog,Pedro A. Guil Asensio
Publisher : American Mathematical Soc.
Page : 357 pages
File Size : 48,9 Mb
Release : 2020-06-23
Category : Education
ISBN : 9781470443689

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Categorical, Homological and Combinatorial Methods in Algebra by Ashish K. Srivastava,André Leroy,Ivo Herzog,Pedro A. Guil Asensio Pdf

This book contains the proceedings of the AMS Special Session, in honor of S. K. Jain's 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held from March 16–18, 2018, at Ohio State University, Columbus, Ohio. The articles contained in this volume aim to showcase the current state of art in categorical, homological and combinatorial aspects of algebra.

Homological and Combinatorial Methods in Algebra

Ayman Badawi,Mohammad Reza Vedadi,Siamak Yassemi,Ahmad Yousefian Darani
Homological and Combinatorial Methods in Algebra Book PDF

Author : Ayman Badawi,Mohammad Reza Vedadi,Siamak Yassemi,Ahmad Yousefian Darani
Publisher : Springer
Page : 149 pages
File Size : 54,9 Mb
Release : 2018-03-01
Category : Mathematics
ISBN : 9783319741956

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Homological and Combinatorial Methods in Algebra by Ayman Badawi,Mohammad Reza Vedadi,Siamak Yassemi,Ahmad Yousefian Darani Pdf

Based on the 4th Seminar on Algebra and its Applications organized by the University of Mohaghegh Ardabili, this volume highlights recent developments and trends in algebra and its applications. Selected and peer reviewed, the contributions in this volume cover areas that have flourished in the last few decades, including homological algebra, combinatorial algebra, module theory and linear algebra over rings, multiplicative ideal theory, and integer-valued polynomials. Held biennially since 2010, SAA introduces Iranian faculty and graduate students to important ideas in the mainstream of algebra and opens channels of communication between Iranian mathematicians and algebraists from around the globe to facilitate collaborative research. Ideal for graduate students and researchers in the field, these proceedings present the best of the seminar’s research achievements and new contributions to the field.

Categorical, Homological and Combinatorial Methods in Algebra

American Mathematical Society. Sectional meeting,Ashish K. Srivastava
Categorical Homological and Combinatorial Methods in Algebra Book PDF

Author : American Mathematical Society. Sectional meeting,Ashish K. Srivastava
Publisher : Unknown
Page : 370 pages
File Size : 42,6 Mb
Release : 2020
Category : Algebra, Homological
ISBN : 1470456087

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Categorical, Homological and Combinatorial Methods in Algebra by American Mathematical Society. Sectional meeting,Ashish K. Srivastava Pdf

This book contains the proceedings of the AMS Special Session, in honor of S. K. Jain's 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held from March 16-18, 2018, at Ohio State University, Columbus, Ohio. The articles contained in this volume aim to showcase the current state of art in categorical, homological and combinatorial aspects of algebra.

Progress in Commutative Algebra 1

Christopher Francisco,Lee C. Klingler,Sean Sather-Wagstaff,Janet C. Vassilev
Progress in Commutative Algebra 1 Book PDF

Author : Christopher Francisco,Lee C. Klingler,Sean Sather-Wagstaff,Janet C. Vassilev
Publisher : Walter de Gruyter
Page : 377 pages
File Size : 47,9 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9783110250404

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Progress in Commutative Algebra 1 by Christopher Francisco,Lee C. Klingler,Sean Sather-Wagstaff,Janet C. Vassilev Pdf

This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains combinatorial and homological surveys. The combinatorial papers document some of the increasing focus in commutative algebra recently on the interaction between algebra and combinatorics. Specifically, one can use combinatorial techniques to investigate resolutions and other algebraic structures as with the papers of Fløystad on Boij-Söderburg theory, of Geramita, Harbourne and Migliore, and of Cooper on Hilbert functions, of Clark on minimal poset resolutions and of Mermin on simplicial resolutions. One can also utilize algebraic invariants to understand combinatorial structures like graphs, hypergraphs, and simplicial complexes such as in the paper of Morey and Villarreal on edge ideals. Homological techniques have become indispensable tools for the study of noetherian rings. These ideas have yielded amazing levels of interaction with other fields like algebraic topology (via differential graded techniques as well as the foundations of homological algebra), analysis (via the study of D-modules), and combinatorics (as described in the previous paragraph). The homological articles the editors have included in this volume relate mostly to how homological techniques help us better understand rings and singularities both noetherian and non-noetherian such as in the papers by Roberts, Yao, Hummel and Leuschke.

Combinatorial Algebraic Topology

Dimitry Kozlov
Combinatorial Algebraic Topology Book PDF

Author : Dimitry Kozlov
Publisher : Springer Science & Business Media
Page : 416 pages
File Size : 52,7 Mb
Release : 2008-01-08
Category : Mathematics
ISBN : 3540730516

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Combinatorial Algebraic Topology by Dimitry Kozlov Pdf

This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.

Combinatorial Methods

Vladimir Shpilrain,Alexander Mikhalev,Jie-tai Yu
Combinatorial Methods Book PDF

Author : Vladimir Shpilrain,Alexander Mikhalev,Jie-tai Yu
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 45,5 Mb
Release : 2012-11-12
Category : Mathematics
ISBN : 9780387217246

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Combinatorial Methods by Vladimir Shpilrain,Alexander Mikhalev,Jie-tai Yu Pdf

The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century.

Homological Methods, Representation Theory, and Cluster Algebras

Ibrahim Assem,Sonia Trepode
Homological Methods Representation Theory and Cluster Algebras Book PDF

Author : Ibrahim Assem,Sonia Trepode
Publisher : Springer
Page : 223 pages
File Size : 46,6 Mb
Release : 2018-04-18
Category : Mathematics
ISBN : 9783319745855

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Homological Methods, Representation Theory, and Cluster Algebras by Ibrahim Assem,Sonia Trepode Pdf

This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras. The interplay between the topics discussed in this text will continue to grow and this collection of courses stands as a partial testimony to this new development. The courses are useful for any mathematician who would like to learn more about this rapidly developing field; the primary aim is to engage graduate students and young researchers. Prerequisites include knowledge of some noncommutative algebra or homological algebra. Homological algebra has always been considered as one of the main tools in the study of finite-dimensional algebras. The strong relationship with cluster algebras is more recent and has quickly established itself as one of the important highlights of today’s mathematical landscape. This connection has been fruitful to both areas—representation theory provides a categorification of cluster algebras, while the study of cluster algebras provides representation theory with new objects of study. The six mini-courses comprising this text were delivered March 7–18, 2016 at a CIMPA (Centre International de Mathématiques Pures et Appliquées) research school held at the Universidad Nacional de Mar del Plata, Argentina. This research school was dedicated to the founder of the Argentinian research group in representation theory, M.I. Platzeck. The courses held were: Advanced homological algebra Introduction to the representation theory of algebras Auslander-Reiten theory for algebras of infinite representation type Cluster algebras arising from surfaces Cluster tilted algebras Cluster characters Introduction to K-theory Brauer graph algebras and applications to cluster algebras

Combinatorial Methods in Topology and Algebra

Bruno Benedetti,Emanuele Delucchi,Luca Moci
Combinatorial Methods in Topology and Algebra Book PDF

Author : Bruno Benedetti,Emanuele Delucchi,Luca Moci
Publisher : Springer
Page : 227 pages
File Size : 43,8 Mb
Release : 2015-10-31
Category : Mathematics
ISBN : 9783319201559

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Combinatorial Methods in Topology and Algebra by Bruno Benedetti,Emanuele Delucchi,Luca Moci Pdf

Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory. The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference.

Polynomial Identities And Combinatorial Methods

Antonio Giambruno,Amitai Regev,Mikhail Zaicev
Polynomial Identities And Combinatorial Methods Book PDF

Author : Antonio Giambruno,Amitai Regev,Mikhail Zaicev
Publisher : CRC Press
Page : 442 pages
File Size : 51,6 Mb
Release : 2003-05-20
Category : Mathematics
ISBN : 0203911547

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Polynomial Identities And Combinatorial Methods by Antonio Giambruno,Amitai Regev,Mikhail Zaicev Pdf

Polynomial Identities and Combinatorial Methods presents a wide range of perspectives on topics ranging from ring theory and combinatorics to invariant theory and associative algebras. It covers recent breakthroughs and strategies impacting research on polynomial identities and identifies new concepts in algebraic combinatorics, invariant and representation theory, and Lie algebras and superalgebras for novel studies in the field. It presents intensive discussions on various methods and techniques relating the theory of polynomial identities to other branches of algebraic study and includes discussions on Hopf algebras and quantum polynomials, free algebras and Scheier varieties.

Homological and Computational Methods in Commutative Algebra

Aldo Conca,Joseph Gubeladze,Tim Römer
Homological and Computational Methods in Commutative Algebra Book PDF

Author : Aldo Conca,Joseph Gubeladze,Tim Römer
Publisher : Springer
Page : 256 pages
File Size : 47,8 Mb
Release : 2017-11-16
Category : Mathematics
ISBN : 9783319619439

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Homological and Computational Methods in Commutative Algebra by Aldo Conca,Joseph Gubeladze,Tim Römer Pdf

This volume collects contributions by leading experts in the area of commutative algebra related to the INdAM meeting “Homological and Computational Methods in Commutative Algebra” held in Cortona (Italy) from May 30 to June 3, 2016 . The conference and this volume are dedicated to Winfried Bruns on the occasion of his 70th birthday. In particular, the topics of this book strongly reflect the variety of Winfried Bruns’ research interests and his great impact on commutative algebra as well as its applications to related fields. The authors discuss recent and relevant developments in algebraic geometry, commutative algebra, computational algebra, discrete geometry and homological algebra. The book offers a unique resource, both for young and more experienced researchers seeking comprehensive overviews and extensive bibliographic references.

Combinatorial Methods in Topology and Algebraic Geometry

John R. Harper,Richard Mandelbaum
Combinatorial Methods in Topology and Algebraic Geometry Book PDF

Author : John R. Harper,Richard Mandelbaum
Publisher : American Mathematical Soc.
Page : 372 pages
File Size : 51,7 Mb
Release : 1985
Category : Mathematics
ISBN : 0821850393

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Combinatorial Methods in Topology and Algebraic Geometry by John R. Harper,Richard Mandelbaum Pdf

A survey of the areas where combinatorial methods have proven especially fruitful: topology and combinatorial group theory, knot theory, 3-manifolds, homotopy theory and infinite dimensional topology, and four manifolds and algebraic surfaces.

Homological Group Theory

Charles Terence Clegg Wall
Homological Group Theory Book PDF

Author : Charles Terence Clegg Wall
Publisher : Cambridge University Press
Page : 409 pages
File Size : 53,6 Mb
Release : 1979-12-27
Category : Mathematics
ISBN : 9780521227292

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Homological Group Theory by Charles Terence Clegg Wall Pdf

Eminent mathematicians have presented papers on homological and combinatorial techniques in group theory. The lectures are aimed at presenting in a unified way new developments in the area.

Algebra VI

A.I. Kostrikin,I.R. Shafarevich
Algebra VI Book PDF

Author : A.I. Kostrikin,I.R. Shafarevich
Publisher : Springer
Page : 290 pages
File Size : 48,5 Mb
Release : 2011-12-12
Category : Mathematics
ISBN : 364208124X

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Algebra VI by A.I. Kostrikin,I.R. Shafarevich Pdf

This monograph contains two self-contained surveys of key aspects of algebra, complete with definitions and simple properties and references to proofs in the literature. The book will be of great interest to graduate students and researchers in mathematics, computer science and theoretical physics.

Commutative Algebra

Alberto Corso
Commutative Algebra Book PDF

Author : Alberto Corso
Publisher : CRC Press
Page : 128 pages
File Size : 53,8 Mb
Release : 2017-08-09
Category : Electronic
ISBN : 1138402125

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Commutative Algebra by Alberto Corso Pdf

Packed with contributions from international experts, Commutative Algebra: Geometric, Homological, Combinatorial, and Computational Aspects features new research results that borrow methods from neighboring fields such as combinatorics, homological algebra, polyhedral geometry, symbolic computation, and topology. This book consists of articles presented during two conferences held in Spain and Portugal in June, 2003. It encompasses a variety of topics, including blowup algebras, Castelnuovo-Mumford regularity, integral closure and normality, Koszul homology, liaison theory, multiplicities, polarization, and reductions of ideals. This comprehensive volume will stimulate further research in the field.

Algebra VI

A.I. Kostrikin,I.R. Shafarevich
Algebra VI Book PDF

Author : A.I. Kostrikin,I.R. Shafarevich
Publisher : Springer
Page : 0 pages
File Size : 40,9 Mb
Release : 1995
Category : Mathematics
ISBN : 3662062925

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Algebra VI by A.I. Kostrikin,I.R. Shafarevich Pdf

This monograph contains two self-contained surveys of key aspects of algebra, complete with definitions and simple properties and references to proofs in the literature. The book will be of great interest to graduate students and researchers in mathematics, computer science and theoretical physics.