Ascending chain condition on principal ideals
id:
ascending-chain-condition-on-principal-ideals-193-6458616
title:
Ascending chain condition on principal ideals
text:
In abstract algebra, the ascending chain condition can be applied to the posets of principal left, principal right, or principal two-sided ideals of a ring, partially ordered by inclusion. The ascending chain condition on principal ideals is satisfied if there is no infinite strictly ascending chain of principal ideals of the given type (left/right/two-sided) in the ring, or said another way, every ascending chain is eventually constant. The counterpart descending chain condition may also be app
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https://en.wikipedia.org/wiki/Ascending_chain_condition_on_principal_ideals
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date modified:
2024-03-25T22:14:37Z
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{"identifier":"Q4803817","url":"https://www.wikidata.org/entity/Q4803817"}
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