Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Grothendieck groups of algebras with nilpotent annihilators

Authors: Maurice Auslander and Idun Reiten
Journal: Proc. Amer. Math. Soc. 103 (1988), 1022-1024
MSC: Primary 13D15; Secondary 19A49
MathSciNet review: 954976
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ R$ be a commutative noetherian ring and $ i:R \to \Lambda $ an $ R$-algebra such that $ \Lambda $ is a finitely generated $ R$-module. Then the annihilator of $ \Lambda $ in $ R$ is nilpotent if and only if the cokernel of the induced map of Grothendieck groups $ {i^*}:{K_0}(\bmod \Lambda )$ is a torsion group.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 13D15, 19A49

Retrieve articles in all journals with MSC: 13D15, 19A49

Additional Information

Article copyright: © Copyright 1988 American Mathematical Society