Add to ORKGIt is well-known that if R is a domain with finite character, each locally principal nonzero ideal of R is invertible. We address the problem of understanding when the converse is true and survey some recent results
ABSTRACT. Several finiteness conditions on a commutative ring are investigated. It is shown that the...
A uniform proof is given for the following fice assertions. Let R be an integral domain such each ov...
In Prüfer domains of finite character, ideals are represented as finite intersections of special ide...
It is well-known that if R is a domain with finite character, each locally principal nonzero ideal...
Let D be an integral domain. We give an overview on connections between the (t)-finite character pro...
AbstractWe show that if D is an integral domain such that every nonzero locally principal ideal of D...
A commutative domain is finitely stable if every nonzero finitely generated ideal is stable, i.e. in...
AbstractA commutative domain is finitely stable if every nonzero finitely generated ideal is stable,...
We illustrate some results relating the finite character property, the local stability property and ...
Let A be an integral domain. We study new conditions on families of integral ideals of A in order to...
AbstractLet D be an integral domain. Two nonzero elements x,y∈D are v-coprime if (x)∩(y)=(xy). D is ...
Abstract. We show that a weakly Krull domain D satisfies (∗): for every pair a, b ∈ D\{0} there is a...
AbstractWe relate ideals in commutative rings which are products of primary ideals to ideals with pr...
AbstractA conjecture posed 11 years ago by S. Bazzoni is solved by showing that a Prüfer domain with...
Using the general approach to invertibility for ideals in ring extensions given by Knebush and Zhan...
ABSTRACT. Several finiteness conditions on a commutative ring are investigated. It is shown that the...
A uniform proof is given for the following fice assertions. Let R be an integral domain such each ov...
In Prüfer domains of finite character, ideals are represented as finite intersections of special ide...
It is well-known that if R is a domain with finite character, each locally principal nonzero ideal...
Let D be an integral domain. We give an overview on connections between the (t)-finite character pro...
AbstractWe show that if D is an integral domain such that every nonzero locally principal ideal of D...
A commutative domain is finitely stable if every nonzero finitely generated ideal is stable, i.e. in...
AbstractA commutative domain is finitely stable if every nonzero finitely generated ideal is stable,...
We illustrate some results relating the finite character property, the local stability property and ...
Let A be an integral domain. We study new conditions on families of integral ideals of A in order to...
AbstractLet D be an integral domain. Two nonzero elements x,y∈D are v-coprime if (x)∩(y)=(xy). D is ...
Abstract. We show that a weakly Krull domain D satisfies (∗): for every pair a, b ∈ D\{0} there is a...
AbstractWe relate ideals in commutative rings which are products of primary ideals to ideals with pr...
AbstractA conjecture posed 11 years ago by S. Bazzoni is solved by showing that a Prüfer domain with...
Using the general approach to invertibility for ideals in ring extensions given by Knebush and Zhan...
ABSTRACT. Several finiteness conditions on a commutative ring are investigated. It is shown that the...
A uniform proof is given for the following fice assertions. Let R be an integral domain such each ov...
In Prüfer domains of finite character, ideals are represented as finite intersections of special ide...