Smarandache Near-rings by W. B. Vasantha Kandasamy

About this book :-
Near-rings are one of the generalized structures of rings. This is a book on Smarandache near-rings where the Smarandache analogues of the near-ring concepts are developed. The reader is expected to have a good background both in algebra and in near-rings. The study and research on near-rings is very systematic and continuous. Near-ring newsletters containing complete and updated bibliography on the subject are published periodically by a team of mathematicians (Editors: Yuen Fong, Alan Oswald, Gunter Pilz and K. C. Smith) with financial assistance from the National Cheng Kung University, Taiwan. The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all results. As a result the author feels it is very essential to have a book on Smarandache near-rings where the Smarandache analogues of the near-ring concepts are developed. The reader is expected to have a good background both in algebra and in near-rings; for, several results are to be proved by the reader as an exercise.

Book Detail :-
Title: Smarandache Near-rings by W. B. Vasantha Kandasamy
Publisher: American Research Press
Year: 2002
Pages: 201
Type: PDF
Language: English
ISBN-10 #: N\A
ISBN-13 #: N\A
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. Prerequisites 2. Near Rings and Its Properties 3. Special Classes of Near Rings and Their Generalizations 4. Smarandache Near Rings 5. SpecialL Properties of Classes of Smarandache Near Rings and Its Generalizations 6. Smarandache Seminear Rings 7. Some Applications of Smarandache Near Rings AND Near Rings 8. Smarandache Non Associative Near Rings and Seminear Rings 9. Fuzzy Near Rings and Smarandache Fuzzy Near Rings 10. Suggested Problems

Similar Abstract Algebra Books