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Left Cancellative and Right Cancellative Elements of Semigroup of Relations

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Abstract:

Let R(X) denote the set of all relations on a set X. Then R(X) becomes a semigroup under composition. The purpose of this paper is to describe the element of R(X) which is left cancellative and right cancellative.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 2)
Pages:
38-40
Citation:
C. Namnak and R. Sanguanwong, "Left Cancellative and Right Cancellative Elements of Semigroup of Relations", Bulletin of Mathematical Sciences and Applications, Vol. 2, pp. 38-40, 2012
Online since:
Nov 2012
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References:

Higgins, P. M. 1992. Techniques of Semigroup Theory, New York, Oxford University Press.

Howie, J. M. 1995. Fundamentals of Semigroup Theory, Clarendon Press, Oxford.