Minimal ideal

id: minimal-ideal-280-9357221
title: Minimal ideal
text: In the branch of abstract algebra known as ring theory, a minimal right ideal of a ring R is a non-zero right ideal which contains no other non-zero right ideal. Likewise, a minimal left ideal is a non-zero left ideal of R containing no other non-zero left ideals of R, and a minimal ideal of R is a non-zero ideal containing no other non-zero two-sided ideal of R. In other words, minimal right ideals are minimal elements of the partially ordered set (poset) of non-zero right ideals of R ordered b
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original url: https://en.wikipedia.org/wiki/Minimal_ideal
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date modified: 2023-03-03T22:50:55Z
main entity: {"identifier":"Q17098947","url":"https://www.wikidata.org/entity/Q17098947"}
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