Smarandache Special Definite Algebraic Structures
Author | : W. B. Vasantha Kandasamy |
Publisher | : Infinite Study |
Total Pages | : 141 |
Release | : 2009-01-01 |
ISBN-10 | : 9781599730851 |
ISBN-13 | : 1599730855 |
Rating | : 4/5 (51 Downloads) |
Book excerpt: We study these new Smarandache algebraic structures, which are defined as structures which have a proper subset which has a weak structure.A Smarandache Weak Structure on a set S means a structure on S that has a proper subset P with a weaker structure.By proper subset of a set S, we mean a subset P of S, different from the empty set, from the original set S, and from the idempotent elements if any.A Smarandache Strong Structure on a set S means a structure on S that has a proper subset P with a stronger structure.A Smarandache Strong-Weak Structure on a set S means a structure on S that has two proper subsets: P with a stronger structure, and Q with a weaker structure.