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- W2950098416 abstract "This paper studies infinite acyclic complexes of finitely generated free modules over a commutative noetherian local ring $(R,m)$ with $m^3=0$. Conclusive results are obtained on the growth of the ranks of the modules in acyclic complexes, and new sufficient conditions are given for total acyclicity. Results are also obtained on the structure of rings that admit acyclic complexes; part of this structure is exhibited by every ring $R$ that admits a non-free finitely generated non-zero module $M$ with $Ext^n(M,R)=0$ for a few $n>0$." @default.
- W2950098416 created "2019-06-27" @default.
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- W2950098416 date "2006-05-22" @default.
- W2950098416 modified "2023-09-27" @default.
- W2950098416 title "Acyclicity over local rings with radical cube zero" @default.
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