English

Tensor products and direct limits of almost Cohen-Macaulay modules

Commutative Algebra 2019-01-04 v1

Abstract

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

Keywords

Cite

@article{arxiv.1612.08257,
  title  = {Tensor products and direct limits of almost Cohen-Macaulay modules},
  author = {Cristodor Ionescu and Samaneh Tabejamaat},
  journal= {arXiv preprint arXiv:1612.08257},
  year   = {2019}
}