Set Theoretic Approach to Algebraic Structures in Mathematics by Vasantha Kandasamy

About this book :-
This text explains how using subsets and small pieces inside big algebra systems like semigroups, rings, and vector spaces can create new, useful structures. Instead of working with an entire ring or vector space, the authors focus on key subsets and build new "set ideals," "set vector spaces," and even topological spaces based on these subsets. It simplifying complexity and improving efficiency. With five clear chapters, the book covers these subset-based ideas and shows practical applications in coding and data handling.

Book Detail :-
Title: Set Theoretic Approach to Algebraic Structures in Mathematics by Vasantha Kandasamy
Publisher: Educational Publisher
Year: 2013
Pages: 166
Type: PDF
Language: English
ISBN-10 #: B00CABFS1S
ISBN-13 #: NA
License: Linked content owned by author
Amazon: Amazon

About Author :-
The author Dr. W. B. Vasantha Kandasamy is an Associate Professor in the Department of Mathematics, Indian Institute of Technology Madras, Chennai. In the past decade she has guided 11 Ph.D. scholars in the different fields of non-associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications of fuzzy theory of the problems faced in chemical industries and cement industries. Currently, four Ph.D. scholars are working under her guidance. She has to her credit 636 research papers. She has guided over 51 M.Sc. and M.Tech. projects. She has worked in collaboration projects with the Indian Space Research Organization and with the Tamil Nadu State AIDS Control Society. This is her 29th book. On India's 60th Independence Day, Dr.Vasantha was conferred the Kalpana Chawla Award for Courage and Daring Enterprise by the State Government of Tamil Nadu in recognition of her sustained fight for social justice in the Indian Institute of Technology (IIT) Madras and for her contribution to mathematics. (The award, instituted in the memory of Indian-American astronaut Kalpana Chawla who died aboard Space Shuttle Columbia). The award carried a cash prize of five lakh rupees (the highest prize-money for any Indian award) and a gold medal.

Book Contents :-
1. Introduction 2. Sets in Semigroups 3. Set Ideals in Rints 4. Sets in Vector 5. Applications of Sets to Set Codes Further Reading

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