Simple algebra (universal algebra)
id:
simple-algebra-universal-algebra-297-5840059
title:
Simple algebra (universal algebra)
text:
In universal algebra, an abstract algebra A is called simple if and only if it has no nontrivial congruence relations, or equivalently, if every homomorphism with domain A is either injective or constant. As congruences on rings are characterized by their ideals, this notion is a straightforward generalization of the notion from ring theory: a ring is simple in the sense that it has no nontrivial ideals if and only if it is simple in the sense of universal algebra. The same remark applies with r
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Simple_algebra_(universal_algebra)
date created:
date modified:
2022-03-06T14:01:16Z
main entity:
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13
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