Smarandache Non-Associative Rings
| dc.creator | Kandasamy, W. B. Vasantha | |
| dc.date | 2003-06-02 | |
| dc.date.accessioned | 2026-07-07T04:58:31Z | |
| dc.date.available | 2026-07-07T04:58:31Z | |
| dc.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 contained 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 belonging to 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 contained in R, that is an associative ring (with respect to the same binary operations on R). | |
| dc.description | 150 pages, several new definitions, 44 tables and 150 problems | |
| dc.identifier | https://arxiv.org/abs/math/0306046 | |
| dc.identifier | http://arxiv.org/abs/math/0306046 | |
| dc.identifier | Published by the American Research Press, 2002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67668 | |
| dc.subject | General Mathematics | |
| dc.subject | 17-xx, 17Axx, 17Dxx | |
| dc.title | Smarandache Non-Associative Rings | |
| dc.type | text |