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About Smarandache Non-Associative 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.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).
Detailed Information
| Author: | W. B. Vasantha Kandasamy |
|---|---|
| Publication Year: | 2002 |
| ISBN: | 9781931233699 |
| Pages: | 151 |
| Language: | English |
| File Size: | 0.804 |
| Format: | |
| Price: | FREE |
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