Smarandache Near-rings
| dc.creator | Kandasamy, W. B. Vasantha | |
| dc.date | 2003-06-23 | |
| dc.date.accessioned | 2026-07-07T04:59:07Z | |
| dc.date.available | 2026-07-07T04:59:07Z | |
| 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 Near-ring is a non-empty set N together with two binary operations '+' and '.' such that (N, +) is a group (not necessarily abelian), (N, .) is a semigroup. For all a, b, c belonging to N we have (a + b) . c = a . c + b . c A Near-field is a non-empty set P together with two binary operations '+' and '.' such that (P, +) is a group (not-necessarily abelian), {P\{0}, .) is a group. For all a, b, c belonging to P we have (a + b) . c = a . c + b . c A Smarandache Near-ring is a near-ring N which has a proper subset P contained in N, where P is a near-field (with respect to the same binary operations on N). | |
| dc.description | 200 pages, 50 tables, 20 figures | |
| dc.identifier | https://arxiv.org/abs/math/0306334 | |
| dc.identifier | http://arxiv.org/abs/math/0306334 | |
| dc.identifier | Published by the American Research Press, Rehoboth, NM, USA, 2002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67857 | |
| dc.subject | General Mathematics | |
| dc.subject | 16Yxx | |
| dc.title | Smarandache Near-rings | |
| dc.type | text |