Smarandache Rings by W. B. Vasantha Kandasamy - PDF

About this book :-
The author embarked on writing this book on Smarandache rings (S-rings) specially to motivate both ring theorists and Smarandache algebraists to develop and study several important and innovative properties about S-rings. On writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and study several important and innovative properties about S-rings. Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B in A which is embedded with a stronger structure S. By proper subset one understands a set included in A, different from the empty set, from the unit element if any, and from A. These types of structures occur in our everyday's life thats why we study them in this book. Thus, as two particular cases: A Smarandache Ring of level I (S-ring I) is a ring R that contains a proper subset that is a field with respect to the operations induced. A Smarandache Ring of level II (S-ring II) is a ring R that contains a proper subset A that verifies: A is an additive abelian group; A is a semigroup under multiplication, for a, b belonging to A, a . b = 0 if and only if a = 0 or b = 0.

Book Detail :-
Title: Smarandache Rings by W. B. Vasantha Kandasamy - PDF
Publisher: American Research Press
Year: 2002
Pages: 222`
Type: PDF
Language: English
ISBN-10 #: 1931233640
ISBN-13 #: 9781931233644
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

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