Smarandache Special Definite Algebraic Structures

Smarandache Special Definite Algebraic Structures
Author :
Publisher : Infinite Study
Total Pages : 141
Release :
ISBN-10 : 9781599730851
ISBN-13 : 1599730855
Rating : 4/5 (51 Downloads)

Book Synopsis Smarandache Special Definite Algebraic Structures by : W. B. Vasantha Kandasamy

Download or read book Smarandache Special Definite Algebraic Structures written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2009-01-01 with total page 141 pages. Available in PDF, EPUB and Kindle. 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.


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In all classical algebraic structures, the Laws of Compositions on a given set are well-defined. But this is a restrictive case, because there are many more sit