Posets whose monoids of order-preserving maps are regular |
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| Authors: | M. E. Adams Matthew Gould |
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| Affiliation: | (1) Department of Mathematics and Computer Science, State University of New York, 12561 New Paltz, NY, USA;(2) Department of Mathematics, Vanderbilt University, 37235 Nashville, TN, USA |
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| Abstract: | ![]()
The purpose of this paper is to determine all posetsP such that the monoid of all order-preserving maps ofP intoP is regular in the semigroup-theoretic sense.AMS subject classifications (1980). 06A10, 20M20. |
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| Keywords: | Poset endomorphism regular semigroup |
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