Cohen–Macaulayness of trivial extensions

A. Mahdikhani, P. Sahandi, N. Shirmohammadi
2018 Journal of Algebra and its Applications  
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.
doi:10.1142/s0219498818500081 fatcat:ztdvgd6spvellpedj3xa3gbvoi