Abstract Let f:A→B and g:A→C be two commutative ring homomorphisms, and let J and J' be
two ideals of B and C, respectively, such that f^-1(J)=g^-1(J'). The bi-amalgamation of A with …

Let R and S be commutative rings with identity, f: R→ S a ring homomorphism and J an ideal
of S. Then the subring R⋈ f J:={(r, f (r)+ j)| r∈ R and j∈ J} of R× S is called the amalgamation …

In this paper we improve the recent results on the transfer of Pr\" ufer, Gaussian and
arithmetical conditions on amalgamated constructions. As an application we provide an …

This paper establishes necessary and sufficient conditions for a bi-amalgamation to inherit
the arithmetical property, with applications on the weak global dimension and transfer of the …

Let A and B be commutative rings with unity, f: A→ B a ring homomorphism, and J an ideal of
B. Then the subring A⋈ f J:={(a, f (a)+ j)| a∈ A and j∈ J} of A× B is called the amalgamation …

Let f: A→ B, g: A→ C be ring homomorphisms and let 𝔟 (respectively, 𝔠) be an ideal of B
(respectively, C) satisfying f− 1 (𝔟)= g− 1 (𝔠). Recently, Kabbaj, Louartiti and Tamekkante …

Abstract Let f: A → B f: A→ B be a ring homomorphism and J be an ideal of B. In this paper,
we give a characterization of zero divisors of the amalgamation which is a generalization of …

Abstract Let f: A→ B and g: A→ C be two ring homomorphisms and let J and J′ be ideals of
B and C, respectively, such that f− 1 (J)= g− 1 (J′). In this paper, we investigate the transfer …

A commutative ring R is said to be endo-Noetherian if the chain of annihilators ann (a_ 1) ⊆
ann (a 1)⊆ ann (a_ 2) ⊆ ⋯ ann (a 2)⊆⋯ stabilizes for each sequence (a_ k) _ k (ak) k of …

Let be a ring homomorphism and J be an ideal of S. Then the subring and of is called the
amalgamation of R with S along J with respect to f. In this paper, we characterize when is a …