Acta Mathematica Vietnamica
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Relative Cohen-Macaulay Modules under Ring Homomorphisms
Parisa Pourghobadian , Kamran Divaani-Aazar , Ahad Rahimipp. 449-466
Abstract
Let $R$ be a commutative Noetherian ring with identity (not necessarily local), and let $\mathfrak {a}$ be a proper ideal of $R$. We investigate the invariance of certain classes of $\mathfrak {a}$-relative Cohen-Macaulay modules under pure ring homomorphisms and ring homomorphisms of finite flat dimension. Our results generalize several existing results in the literature on homological modules.