Let R be a commutative ring with 1≠0 and let m and n be integers with 1≦n<m. A proper
ideal I of R iscalled an (m,n)-closed ideal of R if whenever a^m∈I forsome a∈R implies …

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 …

Let R be a commutative ring with 1≠ 0. Let n≥ 1 be a positive integer. A proper ideal I of R
is called an n-absorbing ideal (respectively, a strongly n-absorbing ideal) of R as in [DF …

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 …

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 …

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Diaspora Journal of Mathematics Volume 14, Number 1, pp. 119–125 (2012) ISSN 1539-854X …

Let f WA! B be a ring homomorphism and J an ideal of B. In this paper, we initiate a
systematic study of a new ring construction called the “amalgamation of A with B along J with …

Let A and B be commutative rings with identity, 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 …

A ring R has the (A)-property (resp., strong (A)-property) if every finitely generated ideal of R
consisting entirely of zero divisors (resp., every finitely generated ideal of R generated by a …

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 …