作者
Hanieh Shoar, Maryam Salimi, Abolfazl Tehranian, Hamid Rasouli, Elham Tavasoli
发表日期
2023/7
期刊
Czechoslovak Mathematical Journal
卷号
73
期号
2
页码范围
475-486
出版商
Springer Berlin Heidelberg
简介
Let R and S be commutative rings with identity, J be an ideal of S, f: R → S be a ring homomorphism, M be an R-module, N be an S-module, and let φ: M → N be an R-homomorphism. The amalgamation of R with S along J with respect to f denoted by R ⨝fJ was introduced by M. D’Anna et al. (2010). Recently, R. El Khalfaoui et al. (2021) introduced a special kind of (R ⨝fJ)-module called the amalgamation of M and N along J with respect to φ, and denoted by M ⨝φJN. We study some homological properties of the (R ⨝fJ)-module M ⨝φJN. Among other results, we investigate projectivity, flatness, injectivity, Cohen-Macaulayness, and prime property of the (R ⨝fJ)-module M ⨝φJN in connection to their corresponding properties of the R-modules M and JN.
学术搜索中的文章
H Shoar, M Salimi, A Tehranian, H Rasouli, E Tavasoli - Czechoslovak Mathematical Journal, 2023