Self Additive Inverse Elements Of Neutrosophic Rings And Fields

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Self Additive Inverse Elements of Neutrosophic Rings and Fields

Author : T.Chalapathi,R.V.M.S.S.Kiran Kumar
Publisher : Infinite Study
Page : 10 pages
File Size : 52,5 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Self Additive Inverse Elements of Neutrosophic Rings and Fields by T.Chalapathi,R.V.M.S.S.Kiran Kumar Pdf

Algebraic Neutrosophic theory is an abstract branch of modern mathematics that originated from classical algebra through the composition of Neutrosophic theory. Its development started few years ago, and now a days Neutrosophic analytic methods and results are important in various fields of engineering science and applied mathematics with its applications.

Self Additive Inverse Elements of Neutrosophic Rings and Fields

Author : T.Chalapathi,R.V.M.S.S.Kiran Kumar
Publisher : Infinite Study
Page : 10 pages
File Size : 41,9 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Self Additive Inverse Elements of Neutrosophic Rings and Fields by T.Chalapathi,R.V.M.S.S.Kiran Kumar Pdf

Algebraic Neutrosophic theory is an abstract branch of modern mathematics that originated from classical algebra through the composition of Neutrosophic theory. Its development started few years ago, and now a days Neutrosophic analytic methods and results are important in various fields of engineering science and applied mathematics with its applications.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018

Author : Florentin Smarandache,Said Broumi
Publisher : Infinite Study
Page : 166 pages
File Size : 40,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 9781599735818

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Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018 by Florentin Smarandache,Said Broumi Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Theory on Duplicity of Finite Neutrosophic Rings

Author : T. Chalapathi,K. Kumaraswamy Naidu,D. Harish Babu,F. Smarandache
Publisher : Infinite Study
Page : 13 pages
File Size : 49,6 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Theory on Duplicity of Finite Neutrosophic Rings by T. Chalapathi,K. Kumaraswamy Naidu,D. Harish Babu,F. Smarandache Pdf

This article introduces the notion of duplex elements of the finite rings and corresponding neutrosophic rings. The authors establish duplex ring Dup(R) and neutrosophic duplex ring Dup(R)I)) by way of various illustrations. The tables of different duplicities are constructed to reveal the comparison between rings Dup(Zn), Dup(Dup(Zn)) and Dup(Dup(Dup(Zn ))) for the cyclic ring Zn . The proposed duplicity structures have several algebraic systems with dissimilar consequences. Author’s characterize finite rings with R + R is different from the duplex ring Dup(R). However, this characterization supports that R + R = Dup(R) for some well known rings, namely zero rings and finite fields.

A Study on Neutrosophic Zero Rings

Author : T.Chalapathi,L. Madhavi
Publisher : Infinite Study
Page : 11 pages
File Size : 49,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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A Study on Neutrosophic Zero Rings by T.Chalapathi,L. Madhavi Pdf

Abstract algebra is largely concerned with the study of abstract sets endowed with one, or, more binary operations along with few axioms. In this paper, we consider one of the basic algebraic structures known as a ring, called a classical ring.

Neutrosophic Sets and Systems, vol. 49/2022

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 611 pages
File Size : 52,5 Mb
Release : 2022-04-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 49/2022 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Neutrosophic Sets and Systems Book Series, Vol. 30, 2019

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 293 pages
File Size : 52,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems Book Series, Vol. 30, 2019 by Florentin Smarandache,Mohamed Abdel-Basset Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

New Trends in Neutrosophic Theory and Applications, Volume II

Author : Florentin Smarandache,Surapati Pramanik
Publisher : Infinite Study
Page : 461 pages
File Size : 41,8 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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New Trends in Neutrosophic Theory and Applications, Volume II by Florentin Smarandache,Surapati Pramanik Pdf

Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc.

Neutrosophic Sets and Systems, Book Series, Vol. 33, 2020. An International Book Series in Information Science and Engineering

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 341 pages
File Size : 43,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Book Series, Vol. 33, 2020. An International Book Series in Information Science and Engineering by Florentin Smarandache,Mohamed Abdel-Basset Pdf

Contributors to current issue (listed in papers’ order): Atena Tahmasbpour Meikola, Arif Mehmood, Wadood Ullah, Said Broumi, Muhammad Imran Khan, Humera Qureshi, Muhammad Ibrar Abbas, Humaira Kalsoom, Fawad Nadeem, T. Chalapathi, L. Madhavi, R. Suresh, S. Palaniammal, Nivetha Martin, Florentin Smarandache, S. A. Edalatpanah, Rafif Alhabib, A. A. Salama, Memet Şahin, Abdullah Kargın, Murat Yücel, Dimacha Dwibrang Mwchahary, Bhimraj Basumatary, R. S. Alghamdi, N. O. Alshehri, Shigui Du, Rui Yong, Jun Ye, Vasantha Kandasamy, Ilanthenral Kandasamy, Muhammad Saeed, Muhammad Saqlain, Asad Mehmood, Khushbakht Naseer, Sonia Yaqoob, Sudipta Gayen, Sripati Jha, Manoranjan Kumar Singh, Ranjan Kumar, Huseyin Kamaci, Shawkat Alkhazaleh, Anas Al-Masarwah, Abd Ghafur Ahmad, Merve Sena Uz, Akbar Rezaei, Mohamed Grida, Rehab Mohamed, Abdelnaser H. Zaid.

Collected Papers. Volume X

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 1006 pages
File Size : 42,6 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 8210379456XXX

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Collected Papers. Volume X by Florentin Smarandache Pdf

This tenth volume of Collected Papers includes 86 papers in English and Spanish languages comprising 972 pages, written between 2014-2022 by the author alone or in collaboration with the following 105 co-authors (alphabetically ordered) from 26 countries: Abu Sufian, Ali Hassan, Ali Safaa Sadiq, Anirudha Ghosh, Assia Bakali, Atiqe Ur Rahman, Laura Bogdan, Willem K.M. Brauers, Erick González Caballero, Fausto Cavallaro, Gavrilă Calefariu, T. Chalapathi, Victor Christianto, Mihaela Colhon, Sergiu Boris Cononovici, Mamoni Dhar, Irfan Deli, Rebeca Escobar-Jara, Alexandru Gal, N. Gandotra, Sudipta Gayen, Vassilis C. Gerogiannis, Noel Batista Hernández, Hongnian Yu, Hongbo Wang, Mihaiela Iliescu, F. Nirmala Irudayam, Sripati Jha, Darjan Karabašević, T. Katican, Bakhtawar Ali Khan, Hina Khan, Volodymyr Krasnoholovets, R. Kiran Kumar, Manoranjan Kumar Singh, Ranjan Kumar, M. Lathamaheswari, Yasar Mahmood, Nivetha Martin, Adrian Mărgean, Octavian Melinte, Mingcong Deng, Marcel Migdalovici, Monika Moga, Sana Moin, Mohamed Abdel-Basset, Mohamed Elhoseny, Rehab Mohamed, Mohamed Talea, Kalyan Mondal, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Ihsan, Muhammad Naveed Jafar, Muhammad Rayees Ahmad, Muhammad Saeed, Muhammad Saqlain, Muhammad Shabir, Mujahid Abbas, Mumtaz Ali, Radu I. Munteanu, Ghulam Murtaza, Munazza Naz, Tahsin Oner, ‪Gabrijela Popović, Surapati Pramanik, R. Priya, S.P. Priyadharshini, Midha Qayyum, Quang-Thinh Bui, Shazia Rana, Akbara Rezaei, Jesús Estupiñán Ricardo, Rıdvan Sahin, Saeeda Mirvakili, Said Broumi, A. A. Salama, Flavius Aurelian Sârbu, Ganeshsree Selvachandran, Javid Shabbir, Shio Gai Quek, Son Hoang Le, Florentin Smarandache, Dragiša Stanujkić, S. Sudha, Taha Yasin Ozturk, Zaigham Tahir, The Houw Iong, Ayse Topal, Alptekin Ulutaș, Maikel Yelandi Leyva Vázquez, Rizha Vitania, Luige Vlădăreanu, Victor Vlădăreanu, Ștefan Vlăduțescu, J. Vimala, Dan Valeriu Voinea, Adem Yolcu, Yongfei Feng, Abd El-Nasser H. Zaied, Edmundas Kazimieras Zavadskas.

Neutrosophic Sets and Systems, Vol. 33, 2020

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 353 pages
File Size : 40,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Vol. 33, 2020 by Florentin Smarandache,Mohamed Abdel-Basset Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles in this issue: Extension of HyperGraph to n-SuperHyperGraph and to Plithogenic n-SuperHyperGraph, and Extension of HyperAlgebra to n-ary (Classical-/Neutro-/Anti-)HyperAlgebra, Neutrosophic Triplet Partial Bipolar Metric Spaces, The Neutrosophic Triplet of BI-algebras.

Neutrosophic Invertible Graphs of Neutrosophic Rings

Author : T. Chalapathi,R. V. M. S. S. Kiran Kumar,Florentin Smarandache
Publisher : Infinite Study
Page : 9 pages
File Size : 40,7 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Invertible Graphs of Neutrosophic Rings by T. Chalapathi,R. V. M. S. S. Kiran Kumar,Florentin Smarandache Pdf

We begin by considering some properties of the self and mutual additive inverse elements of finite Neutrosophic rings. We then proceed to determine several properties of Neutrosophic invertible graphs and we obtain an interrelation between classical rings, Neutrosophic rings and their Neutrosophic invertible graphs.

On Some Special Elements in Neutrosophic Rings and Refined Neutrosophic Rings

Author : Mohammad Abobala
Publisher : Infinite Study
Page : 8 pages
File Size : 52,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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On Some Special Elements in Neutrosophic Rings and Refined Neutrosophic Rings by Mohammad Abobala Pdf

Idempotent elements in a ring 𝑅 are the elements with the condition 𝒂𝟐=𝒂. This paper introduces the criterion of any element in a refined neutrosophic ring to be idempotent. Also, the concept of symmetric and supersymmetric elements in a neutrosophic ring 𝑅(𝐼), and a refined neutrosophic ring 𝑅(𝐼1,𝐼2) are defined. Also, the invertibility of these elements is discussed.

Neutrosophic Units of Neutrosophic Rings and Fields

Author : T. Chalapathi,R. V. M. S. S. Kiran Kumar
Publisher : Infinite Study
Page : 8 pages
File Size : 43,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Units of Neutrosophic Rings and Fields by T. Chalapathi,R. V. M. S. S. Kiran Kumar Pdf

In recent years, the inter connection between classical structures and Neutrosophic structures is studied by few researchers. For such kind of study, researchers defined new algebraic structures whose elements are generated by elements in classical algebraic set and indeterminate of the real world problem with respect to algebraic operations on the well defined Neutrosophic elements.

Semi-Idempotents in Neutrosophic Rings

Author : Vasantha Kandasamy W.B. , Ilanthenral Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 7 pages
File Size : 42,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Semi-Idempotents in Neutrosophic Rings by Vasantha Kandasamy W.B. , Ilanthenral Kandasamy,Florentin Smarandache Pdf

In complex rings or complex fields, the notion of imaginary element i with i2 = -1 or the complex number i is included, while, in the neutrosophic rings, the indeterminate element I where I2 = I is included. The neutrosophic ring hR [ Ii is also a ring generated by R and I under the operations of R. In this paper we obtain a characterization theorem for a semi-idempotent to be in hZp [ Ii, the neutrosophic ring of modulo integers, where p a prime. Here, we discuss only about neutrosophic semi-idempotents in these neutrosophic rings. Several interesting properties about them are also derived and some open problems are suggested.