Global dimension
id:
global-dimension-276-13473754
title:
Global dimension
text:
In ring theory and homological algebra, the global dimension of a ring A denoted gl dim A, is a non-negative integer or infinity which is a homological invariant of the ring. It is defined to be the supremum of the set of projective dimensions of all A-modules. Global dimension is an important technical notion in the dimension theory of Noetherian rings. By a theorem of Jean-Pierre Serre, global dimension can be used to characterize within the class of commutative Noetherian local rings those ri
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Global_dimension
date created:
date modified:
2022-07-01T18:51:54Z
main entity:
{"identifier":"Q5570832","url":"https://www.wikidata.org/entity/Q5570832"}
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fields total:
13
integrity:
13