Add to ORKGIt is shown that if R is a right Noetherian ring whose right socle is essential as a right ideal and is contained in the left socle, then R is right Artinian. This result may be viewed as a one-sided version of a result of Ginn and Moss on two-sided Noetherian rings with essential socle. This also extends the work of Nicholson and Yousif where the same result is obtained under a stronger hypothesis. We use our work to obtain partial positive answers to some open questions on right CF, right FGF and right Johns rings
AbstractClaasen and Goldbach introduced a class of finite rings with a field-like property. In this ...
Let R be a legt noetherian ring with left Krull demension α. For a let R-module M which has Krull di...
In t roduc t ion A right distributive ring, right D-ring for short, is a ring whose lattice of right...
AbstractVarious versions of the second layer condition and the relationships between them are studie...
AbstractFor R an artinian ring and G a group, we characterize when RG is a principal ideal ring. In ...
AbstractWe provide an example of a (left and right) Noetherian C-algebra which cannot be embedded in...
Faith-Menal counter example is an example (unique) of a right John’s ring which is not right Artinia...
AbstractA criterion is presented which is easy to check in specific examples and provides informatio...
Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We ...
AbstractA ring R is called right principally injective if every R-homomorphism from a principal righ...
Let R be a left Noetherian ring with identity. (All modules considered are unital left modules.) The...
A semigroup S is right noetherian if every right congruence on S is finitely generated. In this pape...
Rings in which each finitely generated right ideal is automorphism-invariant (rightfa-rings) are sho...
A Paraître Glasgow Mathematical JournalR is called a right WV -ring if each simple right R-module is...
The goal of this dissertation is to provide noncommutative generalizations of the following theorems...
AbstractClaasen and Goldbach introduced a class of finite rings with a field-like property. In this ...
Let R be a legt noetherian ring with left Krull demension α. For a let R-module M which has Krull di...
In t roduc t ion A right distributive ring, right D-ring for short, is a ring whose lattice of right...
AbstractVarious versions of the second layer condition and the relationships between them are studie...
AbstractFor R an artinian ring and G a group, we characterize when RG is a principal ideal ring. In ...
AbstractWe provide an example of a (left and right) Noetherian C-algebra which cannot be embedded in...
Faith-Menal counter example is an example (unique) of a right John’s ring which is not right Artinia...
AbstractA criterion is presented which is easy to check in specific examples and provides informatio...
Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We ...
AbstractA ring R is called right principally injective if every R-homomorphism from a principal righ...
Let R be a left Noetherian ring with identity. (All modules considered are unital left modules.) The...
A semigroup S is right noetherian if every right congruence on S is finitely generated. In this pape...
Rings in which each finitely generated right ideal is automorphism-invariant (rightfa-rings) are sho...
A Paraître Glasgow Mathematical JournalR is called a right WV -ring if each simple right R-module is...
The goal of this dissertation is to provide noncommutative generalizations of the following theorems...
AbstractClaasen and Goldbach introduced a class of finite rings with a field-like property. In this ...
Let R be a legt noetherian ring with left Krull demension α. For a let R-module M which has Krull di...
In t roduc t ion A right distributive ring, right D-ring for short, is a ring whose lattice of right...