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