Weak dimension
id:
weak-dimension-306-9576363
title:
Weak dimension
text:
In abstract algebra, the weak dimension of a nonzero right module M over a ring R is the largest number n such that the Tor group Tor n R is nonzero for some left R-module N, and the weak dimension of a left R-module is defined similarly. The weak dimension was introduced by Henri Cartan and Samuel Eilenberg (1956, p.122). The weak dimension is sometimes called the flat dimension as it is the shortest length of the resolution of the module by flat modules. The weak dimension of a module is, at
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Weak_dimension
date created:
date modified:
2023-08-12T22:54:35Z
main entity:
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