Groupoids. and Smarandache Groupoids. W. B. Vasantha Kandasamy

Groupoids. and Smarandache Groupoids



Download Groupoids. and Smarandache Groupoids



Groupoids. and Smarandache Groupoids W. B. Vasantha Kandasamy ebook pdf
Publisher: American Research Press
Language: English
Page: 115
ISBN: 1931233616, 9781931233613

Definition:

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 included in A which is embedded with a stronger structure S.

These types of structures occur in our everyday’s life, that’s why we study them in this book.

Thus, as a particular case:

A Smarandache Groupoid is a groupoid G which has a proper subset S included in G such that S under the operation of G is a semigroup.

About the Author

Dr. W. B. Vasantha is an Associate Professor in the Department of Mathematics, Indian Institute of Technology Madras, Chennai, where she lives with her husband Dr. K. Kandasamy and daughters Meena and Kama. Her current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has guided seven 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, five Ph.D. scholars are working under her guidance. She has to her credit 250 research papers of which 218 are individually authored. Apart from this she and her students have presented around 230 papers in national and international conferences. She teaches both undergraduate and post-graduate students and has guided over 35 M.Sc. and M.Tech projects. She has worked in collaboration projects with Indian Space Research Organization and with the Tamil Nadu State AIDS Control Society.



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