Relative Cohen-Macaulay modules under ring homomorphisms

Autor:	Pourghobadian, Parisa, Divaani-Aazar, Kamran, Rahimi, Ahad
Rok vydání:	2022
Předmět:	Mathematics - Commutative Algebra 13C14 13C05 13D45
Druh dokumentu:	Working Paper
Popis:	Let $R$ be a commutative Noetherian ring with identity (not necessarily local) and $\frak a$ a proper ideal of $R$. We study the invariance of some classes of $\frak a$-relative Cohen-Macaulay modules under pure ring homomorphisms and ring homomorphisms of finite flat dimension. Our results extend several results in the existing literature on homological modules. Comment: 16 pages. arXiv admin note: text overlap with arXiv:2212.07122
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.12027 Zobrazit plný text záznamu View this record from Arxiv