Cohen-Macaulayness of trivial extensions

Published 30 Jan 2017 in math.AC | (1701.08489v1)

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.

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