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.

Book Id: WPLBN0002097650
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Full Text

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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