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Bialgebraic Structures and Smarandache Bialgebraic Structures

By W. B. Vasantha Kandasamy

Excerpt
The study of bialgebraic structures started very recently. Till date there are no books solely dealing with bistructures. The study of bigroups was carried out in 1994-1996. Further research on bigroups and fuzzy bigroups was published in 1998. In the year 1999, bivector spaces was introduced. In 2001, concept of free De Morgan bisemigroups and bisemilattices was studied. It is said by Zoltan Esik that these bialgebraic structures like bigroupoids, bisemigroups, binear rings help in the construction of finite machines or finite automaton and semi automaton. The notion of non-associative bialgebraic structures was first introduced in the year 2002. The concept of bialgebraic structures which we define and study are slightly different from the bistructures using category theory of Girard's classical linear logic. We do not approach the bialgebraic structures using category theory or linear logic.

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Book Id: WPLBN0002097650
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Reproduction Date: 9/14/2011
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Title: Bialgebraic Structures and Smarandache Bialgebraic Structures  
Author: W. B. Vasantha Kandasamy
Volume:
Language: English
Subject: Non-Fiction, Education, Smarandache Collections
Collection: Authors Community
Subcollection: Mathematics
Historic
Publication Date:
2003
Publisher: American Research Press
Member Page: Florentin Smarandache
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