BibTeX
@MISC{Gilbert_flowson,
author = {N.D. Gilbert},
title = {Flows on Regular Semigroups},
year = {}
}
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Abstract
We study the structure of the flow monoid of a regular semigroup. This arises from the approach of Nambooripad of considering a regular semigroup as a groupoid -- a category in which every morphism is invertible. A flow is then a section to the source map in this groupoid, and the monoid structure of the set of all flows is determined in terms of the Green relations on the original semigroup.
