paper

Cohen-Macaulayness of trivial extensions

arXiv:1701.08489 · doi:10.1142/S0219498818500081

Abstract

Our goal is to determine when the trivial extensions of commutative rings by modules are Cohen-Macaulay in the sense of Hamilton and Marley. For this purpose, we provide a generalization of the concept of Cohen-Macaulayness of rings to modules.

to appear in J. Algebra Appl