Homotopy theory of modules and Gorenstein rings
نویسندگان
چکیده
منابع مشابه
Periodic modules over Gorenstein local rings
It is proved that the minimal free resolution of a module M over a Gorenstein local ring R is eventually periodic if, and only if, the class of M is torsion in a certain Z[t ±1 ]-module associated to R. This module, denoted J(R), is the free Z[t ±1 ]-module on the isomorphism classes of finitely generated R-modules modulo relations reminiscent of those defining the Grothendieck group of R. The ...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2001
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-14329