Smarandache Special Definite Algebraic Structures
Smarandache Special Definite Algebraic Structures
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| Category | Ordered algebraic structures |
| Authors | W. B. Vasantha Kandasamy |
| Publisher | Infinite Study |
| Published Date | 2009-01-01 |
| ISBN | 1599730855 |
| Pages | 139 |
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.