ON THE COMMUTATIVITY DEGREE IN ALGEBRAIC STRUCTURES

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AHMADI DALIR K.; DOUSTI H.; CAMPBELL C.M.

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2009 | Issue:20

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Title

ON THE COMMUTATIVITY DEGREE IN ALGEBRAIC STRUCTURES

Author(s)

AHMADI DALIR K. | DOUSTI H. | CAMPBELL C.M.

Keywords

COMMUTATIVITY DEGREE

PRESENTATION OF ALGEBRAIC STRUCTURES GROUPS

SEMIGROUPS AND MONOIDS

Abstract

THE COMMUTATIVITY DEGREE OF GROUPS AND RINGS HAS BEEN STUDIED BY CERTAIN AUTHORS SINCE 1973, AND THE MAIN RESULT OBTAINED IS PR(A)£ 5/8 , WHERE PR(A) IS THE COMMUTATIVITY DEGREE OF A NON-ABELIAN GROUP (OR RING) A. VERIFYING THIS INEQUALITY FOR AN ARBITRARY SEMIGROUP A IS A NATURAL QUESTION AND IN THIS PAPER BY PRESENTING AN INFINITE CLASS OF FINITE NONCOMMUTATIVE SEMIGROUPS WE PROVE THAT THE COMMUTATIVITY DEGREE MAY BE ARBITRARILY CLOSE TO 1. WE NAME THIS CLASS OF SEMIGROUPS THE ALMOST COMMUTATIVE OR APPROXIMATELY ABELIAN SEMIGROUPS.

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Cite

APA: Copy

AHMADI DALIR, K., DOUSTI, H., & CAMPBELL, C.M.. (2009). ON THE COMMUTATIVITY DEGREE IN ALGEBRAIC STRUCTURES. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/904407/en

Vancouver: Copy

AHMADI DALIR K., DOUSTI H., CAMPBELL C.M.. ON THE COMMUTATIVITY DEGREE IN ALGEBRAIC STRUCTURES. 2009. Available from: https://sid.ir/paper/904407/en

IEEE: Copy

K. AHMADI DALIR, H. DOUSTI, and C.M. CAMPBELL, “ON THE COMMUTATIVITY DEGREE IN ALGEBRAIC STRUCTURES,” presented at the IRANIAN ALGEBRA SEMINAR. 2009, [Online]. Available: https://sid.ir/paper/904407/en

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