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 ( k , M ) {\displaystyle \operatorname {Ext} _{R}^{i}(k,M)} . More generally the Bass number μ i ( p , M ) {\displaystyle \mu _{i}(p,M)} 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 (with respect to the prime p).
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 ( k , M ) {\displaystyle \operatorname {Ext} _{R}^{i}(k,M)} . More generally the Bass number μ i ( p , M ) {\displaystyle \mu _{i}(p,M)} 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 (with respect to the prime p).
Source: Wikipedia "Bass number" · CC BY-SA 4.0
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