Let f: A→ B be a ring homomorphism, and let J be an ideal of B. In this article, we study the
amalgamation of A with B along J with respect to f (denoted by A⋈ f J), a construction that …

Let R and S be commutative rings, let J be an ideal of S and let f: R→ S be a ring
homomorphism. In this paper, we investigate some homological properties of the …

Let R and S be commutative rings with identity, J be an ideal of S, and let f: R→ S be a ring
homomorphism. The amalgamation of R with S along J with respect to f denoted by R⋈ f J …

In this work, we introduce the notion of $ S $-1-absorbing primary submodule as an
extension of 1-absorbing primary submodule. Let $ S $ be a multiplicatively closed subset of …

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 …

Let A and B be commutative rings with identity and J be an ideal of B, and let f: A→ B be a
ring homomorphism. The amalgamation of A with B along J with respect to f denoted by A⋈ f …

Let $ f: A\rightarrow B $ be a ring homomorphism and let $ J $ be an ideal of $ B $. In this
paper, we study the amalgamation of $ A $ with $ B $ along $ J $ with respect to $ f $, a …

Let R be a commutative ring and let I be a nonzero proper ideal of R. In this paper, we study
the properties of a family of rings R (I) a, b, with a, b∈ R, as quotients of the Rees algebra⊕ …

Let R be a commutative Noetherian ring and let I≠ 0 be a proper ideal of R. We study some
properties of a family of rings R (I) a, b that are obtained as quotients of the Rees algebra …

Given a semidualizing module C over a commutative Noetherian ring, Holm and Jørgensen
[Semi-dualizing modules and related Gorenstein homological dimensions, J. Pure Appl …