Irreducible ring

id: irreducible-ring-323-11731519
title: Irreducible ring
text: In mathematics, especially in the field of ring theory, the term irreducible ring is used in a few different ways. A (meet-)irreducible ring is a ring in which the intersection of two non-zero ideals is always non-zero. A directly irreducible ring is a ring which cannot be written as the direct sum of two non-zero rings. A subdirectly irreducible ring is a ring with a unique, non-zero minimum two-sided ideal. A ring with an irreducible spectrum is a ring whose spectrum is irreducible as a topolo
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Irreducible_ring
date created:
date modified: 2023-08-20T19:58:24Z
main entity: {"identifier":"Q6073577","url":"https://www.wikidata.org/entity/Q6073577"}
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fields total: 13
integrity: 13

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