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 …

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 and g: A→ C be two ring homomorphisms and let J (resp. J′) be an
ideal of B (resp. C) such that f− 1 (J)= g− 1 (J′). We investigate the transfer of the notions of …

Abstract Let f: A→ B be a ring homomorphism and J be an ideal of B. In this paper, we
investigate the transfer of Gaussian property to the amalgamation of A with B along J with …

Abstract Let f: A ⟶ B f: A⟶ B and g: A ⟶ C g: A⟶ C be two ring homomorphisms and let J
(resp., J'J′) be an ideal of B (resp., C) such that f^-1 (J)= g^-1 (J') f-1 (J)= g-1 (J′). In this …

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 $ f: A\longrightarrow B $ be a ring homomorphism and let $\mathfrak b $ be an ideal of $
B $. In this paper we study Pr\" ufer like conditions in the amalgamation of $ A $ with $ B …

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

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 …

Let R be a commutative ring with nonzero identity. A proper ideal I of R is called a 1-
absorbing prime ideal (respectively, 1-absorbing primary ideal) if whenever nonunit …