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Author : A. G. Pinus
Publisher : Unknown
Page : 364 pages
File Size : 45,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 9401709394
Author : A.G. Pinus
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 52,7 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401709385
During the last few decades the ideas, methods, and results of the theory of Boolean algebras have played an increasing role in various branches of mathematics and cybernetics. This monograph is devoted to the fundamentals of the theory of Boolean constructions in universal algebra. Also considered are the problems of presenting different varieties of universal algebra with these constructions, and applications for investigating the spectra and skeletons of varieties of universal algebras. For researchers whose work involves universal algebra and logic.
Author : R.S. Freese,O.C. Garcia
Publisher : Springer
Page : 314 pages
File Size : 48,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540409540
Author : Sergey Goncharov
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 49,9 Mb
Release : 1997-01-31
Category : Mathematics
ISBN : 030611061X
This book describes the latest Russian research covering the structure and algorithmic properties of Boolean algebras from the algebraic and model-theoretic points of view. A significantly revised version of the author's Countable Boolean Algebras (Nauka, Novosibirsk, 1989), the text presents new results as well as a selection of open questions on Boolean algebras. Other current features include discussions of the Kottonen algebras in enrichments by ideals and automorphisms, and the properties of the automorphism groups.
Author : L. Szabó,A. Szendrei
Publisher : Elsevier
Page : 657 pages
File Size : 52,7 Mb
Release : 2016-01-22
Category : Mathematics
ISBN : 9781483295404
These 34 papers cover topics ranging from various problems on varieties and other classes of algebras including categorical aspects and duality theory to the structure of finite algebras and clones on finite (or infinite) sets.As well as survey articles by invited speakers, the papers contain full proofs of new results not published elsewhere. The volume ends with a list of problems.
Author : George M. Bergman
Publisher : Springer
Page : 572 pages
File Size : 43,9 Mb
Release : 2015-02-05
Category : Mathematics
ISBN : 9783319114781
Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.
Author : Jacek Malinowski
Publisher : Springer Nature
Page : 473 pages
File Size : 48,5 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9783031444906
Author : Klaus Denecke,Shelly L. Wismath
Publisher : World Scientific
Page : 291 pages
File Size : 47,7 Mb
Release : 2009
Category : Mathematics
ISBN : 9789812837455
The purpose of this book is to study the structures needed to model objects in universal algebra, universal coalgebra and theoretical computer science. Universal algebra is used to describe different kinds of algebraic structures, while coalgebras are used to model state-based machines in computer science.The connection between algebras and coalgebras provides a way to connect static data-oriented systems with dynamical behavior-oriented systems. Algebras are used to describe data types and coalgebras describe abstract systems or machines.The book presents a clear overview of the area, from which further study may proceed.
Author : Stanley Burris,Ralph McKenzie
Publisher : American Mathematical Soc.
Page : 106 pages
File Size : 41,9 Mb
Release : 1981
Category : Mathematics
ISBN : 9780821822463
Author : Janusz Czelakowski
Publisher : Springer
Page : 454 pages
File Size : 44,8 Mb
Release : 2018-03-20
Category : Philosophy
ISBN : 9783319747729
This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.
Author : Aleksandr Georgievich Pinus
Publisher : Unknown
Page : 222 pages
File Size : 44,6 Mb
Release : 1994
Category : Algebra, Boolean
ISBN : UOM:39015036964917
Author : Arthur Knoebel
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 54,8 Mb
Release : 2011-12-15
Category : Mathematics
ISBN : 9780817642181
This unique monograph building bridges among a number of different areas of mathematics such as algebra, topology, and category theory. The author uses various tools to develop new applications of classical concepts. Detailed proofs are given for all major theorems, about half of which are completely new. Sheaves of Algebras over Boolean Spaces will take readers on a journey through sheaf theory, an important part of universal algebra. This excellent reference text is suitable for graduate students, researchers, and those who wish to learn about sheaves of algebras.
Author : Rafal Ablamowicz,P. Lounesto
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 51,9 Mb
Release : 1995-02-28
Category : Mathematics
ISBN : 0792333667
This volume introduces mathematicians and physicists to a crossing point of algebra, physics, differential geometry and complex analysis. The book follows the French tradition of Cartan, Chevalley and Crumeyrolle and summarizes Crumeyrolle's own work on exterior algebra and spinor structures. The depth and breadth of Crumeyrolle's research interests and influence in the field is investigated in a number of articles. Of interest to physicists is the modern presentation of Crumeyrolle's approach to Weyl spinors, and to his spinoriality groups, which are formulated with spinor operators of Kustaanheimo and Hestenes. The Dirac equation and Dirac operator are studied both from the complex analytic and differential geometric points of view, in the modern sense of Ryan and Trautman. For mathematicians and mathematical physicists whose research involves algebra, quantum mechanics and differential geometry.
Author : Sh. Ayupov,Abdugafur Rakhimov,Shukhrat Usmanov
Publisher : Springer Science & Business Media
Page : 239 pages
File Size : 44,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401586054
The theory of operator algebras acting on a Hilbert space was initiated in thirties by papers of Murray and von Neumann. In these papers they have studied the structure of algebras which later were called von Neu mann algebras or W* -algebras. They are weakly closed complex *-algebras of operators on a Hilbert space. At present the theory of von Neumann algebras is a deeply developed theory with various applications. In the framework of von Neumann algebras theory the study of fac tors (i.e. W* -algebras with trivial centres) is very important, since they are comparatively simple and investigation of general W* -algebras can be reduced to the case of factors. Therefore the theory of factors is one of the main tools in the structure theory of von Neumann algebras. In the middle of sixtieth Topping [To 1] and Stormer [S 2] have ini tiated the study of Jordan (non associative and real) analogues of von Neumann algebras - so called JW-algebras, i.e. real linear spaces of self adjoint opera.tors on a complex Hilbert space, which contain the identity operator 1. closed with respect to the Jordan (i.e. symmetrised) product INTRODUCTION 2 x 0 y = ~(Xy + yx) and closed in the weak operator topology. The structure of these algebras has happened to be close to the struc ture of von Neumann algebras and it was possible to apply ideas and meth ods similar to von Neumann algebras theory in the study of JW-algebras.
Author : Y. Bahturin
Publisher : Springer Science & Business Media
Page : 425 pages
File Size : 47,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401708395
This book has developed from a series of lectures which were given by the author in mechanics-mathematics department of the Moscow State University. In 1981 the course "Additional chapters in algebra" replaced the course "Gen eral algebra" which was founded by A. G. Kurosh (1908-1971), professor and head of the department of higher algebra for a period of several decades. The material of this course formed the basis of A. G. Kurosh's well-known book "Lectures on general algebra" (Moscow,1962; 2-nd edition: Moscow, Nauka, 1973) and the book "General algebra. Lectures of 1969-1970. " (Moscow, Nauka, 1974). Another book based on the course, "Elements of general al gebra" (M. : Nauka, 1983) was published by L. A. Skorniakov, professor, now deceased, in the same department. It should be noted that A. G. Kurosh was not only the lecturer for the course "General algebra" but he was also the recognized leader of the scientific school of the same name. It is difficult to determine the limits of this school; however, the "Lectures . . . " of 1962 men tioned above contain some material which exceed these limits. Eventually this effect intensified: the lectures of the course were given by many well-known scientists, and some of them see themselves as "general algebraists". Each lecturer brought significant originality not only in presentation of the material but in the substance of the course. Therefore not all material which is now accepted as necessary for algebraic students fits within the scope of general algebra.
