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 …

1. Introduction. Let D be a commutative integral domain. It is known [8, Theorem 3, page
1411 that if I is an invertible ideal of D and a EI is contained in only finitely many maximal …

Let D be an integral domain, F+(D)(resp., f+(D)) be the set of nonzero (resp., nonzero finitely
generated) ideals of D, R 1= f+(D)∪{(0)}, and R 2= F+(D)∪{(0)}. Then (R i,⊕,⊗) for i= 1, 2 is …

Let R be an integral domain with quotient field Ii'. Recall that an ideal I of R is called a
cancellation ideal if whenever IJ1= IJ2 for ideals J1 and J2 of R, then J1= J2. It is readily …

Let R be an integral domain. An nonzero ideal I of R is said to be m-canonical if (I:(I: J))= J
for each nonzero ideal J of R. When R is a certain pullback of a valuation domain, we …

Let D be an integral domain,∗ a star-operation on D, and S a multiplicative subset of D. We
define D to be an S-∗ w-principal ideal domain if for each nonzero ideal I of D, there exist an …

Let ⋆ be a finite character star-operation defined on an integral domain D. A nonzero finitely
generated ideal of D is ⋆-homogeneous if it is contained in a unique maximal ⋆-ideal. And …

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 …

Let y be a property of some (commutative integral) domains such that: if A⊂ B are domains
such that Spec (A)= Spec (B) as sets, then A has y if and only if B has y; if A is a domain and …

Let A be an integral domain. We study new conditions on families of integral ideals of A in
order to get that A is of t-finite character (ie each nonzero element of A is contained in finitely …