Products of idempotent endomorphisms of free acts of infinite rank |
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Authors: | Sydney Bulman-Fleming John Fountain |
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Affiliation: | (1) Department of Mathematics, Wilfrid Laurier University, N2L 3C5 Waterloo, Ontario, Canada;(2) Department of Mathematics, University of York, Y01 5DD Heslington, York, UK |
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Abstract: | In 1966, J. M. Howie characterized the self-maps of a set which can be written as a product (i.e., composite) of idempotent self-maps of that set. Using a wreath product construction introduced by V. Fleischer, the first-named author was recently able to describe products of idempotent endomorphisms of a freeS-act of finite rank whereS is any monoid. The purpose of the present paper is to extend this result to freeS-acts of infinite rank.Research supported by Natural Sciences and Engineering Research Council of Canada Research Grant A4494 |
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Keywords: | 20M20 |
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