Add to ORKG© 2020, Pleiades Publishing, Ltd. We study the rings R whose every right ideal is a finite direct sum of automorphism-invariant right R-modules. These rings are called right Σ-a-rings. We find a representation in the form of block upper triangular rings of formal matrices for the indecomposable right Artinian right hereditary right Σ-a-rings
AbstractIt is proved that a ring R is right perfect if and only if it is Σ-cotorsion as a right modu...
© 2018, Hacettepe University. All rights reserved. This paper aims to study the notions of A-C3 and ...
AbstractA ringRis said to be rightP-injective if every homomorphism of a principal right ideal toRis...
AbstractNakayama [T. Nakayama, On Frobeniusean algebras II, Annals of Mathematics 42 (1941) 1–21] sh...
Rings in which each finitely generated right ideal is automorphism-invariant (rightfa-rings) are sho...
We consider rings whose one-sided ideals are close to automorphism-invariant modules. We study rings...
AbstractNakayama [T. Nakayama, On Frobeniusean algebras II, Annals of Mathematics 42 (1941) 1–21] sh...
Abstract. It is known that every essential extension of a direct sum of injective hulls of simple R-...
Dedekind domains, Artinian serial rings and right uniserial rings share the following property: Ever...
Dedekind domains, Artinian serial rings and right uniserial rings share the following property: Ever...
Let A be a class of some right R-modules that is closed under isomorphisms, and let M be a right R-m...
A ring R is said to be right π-extending if every projection invariant right ideal of R is essential...
A ring R is called a right WV-ring if each simple right R-module is injective relative to proper cyc...
This paper is a continuation of the study of the rings for which every principal right ideal (respec...
AbstractOur goal is to develop methods that enable one to select a class K of rings and then to desc...
AbstractIt is proved that a ring R is right perfect if and only if it is Σ-cotorsion as a right modu...
© 2018, Hacettepe University. All rights reserved. This paper aims to study the notions of A-C3 and ...
AbstractA ringRis said to be rightP-injective if every homomorphism of a principal right ideal toRis...
AbstractNakayama [T. Nakayama, On Frobeniusean algebras II, Annals of Mathematics 42 (1941) 1–21] sh...
Rings in which each finitely generated right ideal is automorphism-invariant (rightfa-rings) are sho...
We consider rings whose one-sided ideals are close to automorphism-invariant modules. We study rings...
AbstractNakayama [T. Nakayama, On Frobeniusean algebras II, Annals of Mathematics 42 (1941) 1–21] sh...
Abstract. It is known that every essential extension of a direct sum of injective hulls of simple R-...
Dedekind domains, Artinian serial rings and right uniserial rings share the following property: Ever...
Dedekind domains, Artinian serial rings and right uniserial rings share the following property: Ever...
Let A be a class of some right R-modules that is closed under isomorphisms, and let M be a right R-m...
A ring R is said to be right π-extending if every projection invariant right ideal of R is essential...
A ring R is called a right WV-ring if each simple right R-module is injective relative to proper cyc...
This paper is a continuation of the study of the rings for which every principal right ideal (respec...
AbstractOur goal is to develop methods that enable one to select a class K of rings and then to desc...
AbstractIt is proved that a ring R is right perfect if and only if it is Σ-cotorsion as a right modu...
© 2018, Hacettepe University. All rights reserved. This paper aims to study the notions of A-C3 and ...
AbstractA ringRis said to be rightP-injective if every homomorphism of a principal right ideal toRis...