BACKGROUND HISTORY OF SEMIGROUPS IN ALGEBRA

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ISSN: 2349-6002 ESTD Year: 2014

UGC approved journal no 47859

BACKGROUND HISTORY OF SEMIGROUPS IN ALGEBRA
Author(s):
Vasantha G, Sri Lakshmi.T
Keywords:
Semigroups, Simple semigroups,0-simple.
Abstract
This paper gathered information on the history of semigroup theory in algebra and added some basic definitions of Semigroup with possible examples. In our view, the father of the semigroup theory is Anton Kazimirovich Suschkewitch. Next, he developed many areas in the twentieth century. He proved every Semigroup might be contained in a complete transformation monoid after A.H Clifford worked on the same content as A.K. Suschkewitch. Later, he brought methods and results that are useful for coming researchers and studied the statement of Rees theorem found by David Ree. W.Douglas Munn has investigated semisimple semigroups and constructed an irreducible representation of 0-simple semigroups. J. S. Ponizovskii studied the Matrix representation of the Rees theorem. These four authors are the main four pillars of semigroup theory.
Article Details
Unique Paper ID: 154793 Publication Volume & Issue: Volume 8, Issue 12 Page(s): 620 - 623
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