Y. Azimi

activity

20162024

most citedPrüfer conditions under the amalgamated construction

2 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

math.AC2024

On the prime spectrum of the amalgamations

Y. Azimi

Let $f : R \to S$ be a ring homomorphism and $J$ be an ideal of $S$ . Then the subring $R ⋈^{f} J := {(r, f (r) + j) ∣ r \in R$ and $j \in J}$ of $R \times S$ is called the amalgamation o…

math.AC2024

(Generalized) filter properties of the amalgamated algebra

Y. Azimi

Let $R$ and $S$ be commutative rings with unity, $f : R \to S$ a ring homomorphism and $J$ an ideal of $S$ . Then the subring $R ⋈^{f} J := {(a, f (a) + j) ∣ a \in R$ and $j \in J}$ of $…

math.AC2024

The zero-divisor graph of an amalgamated algebra

Y. Azimi, M. R. Doustimehr

Let $R$ and $S$ be commutative rings with identity, $f : R \to S$ a ring homomorphism and $J$ an ideal of $S$ . Then the subring $R ⋈^{f} J := {(r, f (r) + j) ∣ r \in R$ and $j \in J}$ o…

math.AC2017★ 2 cited

Prüfer conditions under the amalgamated construction

Y. Azimi, P. Sahandi, N. Shirmohammadi

In this paper we improve the recent results on the transfer of Prüfer, Gaussian and arithmetical conditions on amalgamated constructions. As an application we provide an answer to…

math.AC2016

Cohen-Macaulay properties under the amalgamated construction

Y. Azimi, P. Sahandi, N. Shirmohammadi

Let $A$ and $B$ be commutative rings with unity, $f : A \to B$ a ring homomorphism and $J$ an ideal of $B$ . Then the subring $A ⋈^{f} J := {(a, f (a) + j) ∣ a \in A$ and $j \in J}$ of $A\ti…