Let S (D) represent a set of proper nonzero ideals I (D)(respectively, t-ideals I t (D)) of an
integral domain D≠ qf (D) and let P be a valid property of ideals of D. We say S (D) meets P …

A class of pinched domains Page 1 Bull. Math. Soc. Sci. Math. Roumanie Tome 52(100) No. 1,
2009, 41-55 A class of pinched domains by Tiberiu Dumitrescu and Shafiq ur Rahman Abstract …

Let D be an integral domain and* a star-operation on D. For a nonzero ideal I of D, let I*
f=⋃{J*|(0)≠ J⊆ I is finitely generated} and I* w=⋂ P∈* f-Max (D) ID P. A nonzero ideal I of D …

Let $ D $ be an integral domain with quotient field $ K $ and let $\mathcal {I}%(D) $ be the
set of nonzero ideals of $ D $. Call, for $ I, J\in\mathcal {I}(D) $, the product $ IJ $ of ideals …

This paper is a continuation of the investigation of almost Bézout domains (for a, b isin; R-
{0}, there exists an n≥ 1 with (an, bn) principal) begun by Zafrullah and the first author. We …

A Schreier domain type condition Page 1 Bull. Math. Soc. Sci. Math. Roumanie Tome 55(103)
No. 3, 2012, 241-247 A Schreier domain type condition by Zaheer Ahmad, Tiberiu Dumitrescu …

An integral domain D with identity is condensed (resp., strongly condensed) if for each pair
of ideals I, J of D, IJ={ij; i∈ I, j∈ J}(resp., IJ= i J for some i∈ I or IJ= I j for some j∈ J). We …

It is shown that if R is an integral domain with| R|= 2ʿ, then either R has a maximal subring
or R has a prime ideal P which is not a maximal ideal of R, Char (R/P)= Char (R) and| R/P|< …

This work generalizes the recent study of the class of strongly divided (commutative integral)
domains. Let R ⊆ T be domains with (R, m) quasi-local. Then (R, T) is said to be a strongly …

We prove that a Priifer domain R has an m-canonical ideal J, that is, an ideal I such that J:(I:
J)= J for every ideal J of R, if and only if R is h-local with only finitely many maximal ideals …