Isbell's zigzag theorem

id: isbell-s-zigzag-theorem-267-695636
title: Isbell's zigzag theorem
text: Isbell's zigzag theorem, a theorem of abstract algebra characterizing the notion of a dominion, was introduced by American mathematician John R. Isbell in 1966. Dominion is a concept in semigroup theory, within the study of the properties of epimorphisms. For example, let U is a subsemigroup of S containing U, the inclusion map U ↪ S is an epimorphism if and only if D o m S = S , furthermore, a map α : S → T is an epimorphism if and only if D o m T = T . The categories of rings and semigroups ar
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category slug: encyclopedia
description: Theorem of dominion in abstract algebra
original url: https://en.wikipedia.org/wiki/Isbell%27s_zigzag_theorem
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date modified: 2024-02-19T16:10:46Z
main entity: {"identifier":"Q123171251","url":"https://www.wikidata.org/entity/Q123171251"}
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