ENGLISH

Smarandache Non-Associative Rings

By W. B. Vasantha Kandasamy

Book information

Publisher
American Research Press
Year
2002
ISBN
1931233691, 9781931233699
Open Library ID
OL12306699M
Language
english
Format
PDF
Filesize
823 kB (843181 bytes)
Pages
151\151
Topic
Mathematics Algebra
Library
Kolxoz dop KVKftp
Time added
2009-10-26 15:40:52

Description

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.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 Non-associative ring is a non-empty set R together with two binary operations '+' and '.' such that (R, +) is an additive abelian group and (R, .) is a groupoid. For all a, b, c in R we have (a + b) . c = a . c + b . c and c . (a + b) = c . a + c . b.A Smarandache non-associative ring is a non-associative ring (R, +, .) which has a proper subset P in R, that is an associative ring (with respect to the same binary operations on R).

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