Left and Right Magnifying Elements in Certain Linear Transformation Semigroups

Pongsan Prakitsri

Abstract


An element a in a semigroup S is called a left (right) magnifying element in S if aM = S (Ma=S) for some proper subset M of S. In this paper, we determine whether or not the linear transformation semigroups with infinite nullity and co-rank have left and right magnifying elements, and provide a characterization if such elements exist.


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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|