E-dense semigroup
id:
e-dense-semigroup-268-4593921
title:
E-dense semigroup
text:
In abstract algebra, an E-dense semigroup (also called an E-inversive semigroup) is a semigroup in which every element a has at least one weak inverse x, meaning that xax = x. The notion of weak inverse is (as the name suggests) weaker than the notion of inverse used in a regular semigroup (which requires that axa=a). The above definition of an E-inversive semigroup S is equivalent with any of the following: for every element a ∈ S there exists another element b ∈ S such that ab is an idempotent
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/E-dense_semigroup
date created:
date modified:
2024-01-21T18:28:58Z
main entity:
{"identifier":"Q18206693","url":"https://www.wikidata.org/entity/Q18206693"}
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