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Tensor products and direct limits of almost Cohen–Macaulay modules

Cristodor Ionescu

Simion Stoilow Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest, Romania

E-mail Address: cristodor.ionescu@imar.ro

Corresponding author.

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and

Samaneh Tabejamaat

Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

E-mail Address: samanetabejamaat_golestan@yahoo.com

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https://doi.org/10.1142/S0219498818502213Cited by:0 (Source: Crossref)

Abstract

We investigate the almost Cohen–Macaulay property and the Serre-type condition $(C_{n}), n \in ℕ,$ for noetherian algebras and modules. More precisely, we find permanence properties of these conditions with respect to tensor products and direct limits.

Communicated by T. H. Ha

Keywords:

AMSC: 13H10, 13C14

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