BACKGROUND HISTORY OF SEMIGROUPS IN ALGEBRA

Vasantha G; Sri Lakshmi.T

BACKGROUND HISTORY OF SEMIGROUPS IN ALGEBRA

Authors: Vasantha G, Sri Lakshmi.T

Unique Paper ID: 154793
Volume: 8
Issue: 12
PageNo: 620-623

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.

Download article

email to a friend

Cite This Article

ISSN: 2349-6002
Volume: 8
Issue: 12
PageNo: 620-623

BACKGROUND HISTORY OF SEMIGROUPS IN ALGEBRA

Available:https://ijirt.org/Article?manuscript=154793

Impact Factor
8.01 (Year 2024)

UGC Approved
Journal no 47859

Join Our IPN

IJIRT Partner Network

Submit your research paper and those of your network (friends, colleagues, or peers) through your IPN account, and receive 800 INR for each paper that gets published.

Join Now