Y. Azimi

collaborators

4 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.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…