Bass number

id: bass-number-239-2951653
title: Bass number
text: In mathematics, the ith Bass number of a module M over a local ring R with residue field k is the k-dimension of Ext R i ⁡ . More generally the Bass number μ i of a module M over a ring R at a prime ideal p is the Bass number of the localization of M for the localization of R. Bass numbers were introduced by Hyman Bass (1963, p.11). The Bass numbers describe the minimal injective resolution of a finitely-generated module M over a Noetherian ring: for each prime ideal p there is a corresponding i
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Bass_number
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date modified: 2023-08-12T22:44:48Z
main entity: {"identifier":"Q4867985","url":"https://www.wikidata.org/entity/Q4867985"}
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integrity: 13

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