Add to ORKGIn this paper we extend the concepts of two sided ideal and right quasi-duo ring. These ideals and rings are called totally fully invariant and right strongly quasi-duo, respectively. Right strongly quasiduo rings are always right quasi-duo. We investigate the properties of these rings and ideals and show among other things that right strongly quasi-duo rings are classical, directly finite and co-hopfian while right quasi duo, right duo or commutative rings do not have necessarily these properti
Let R be a ring. An R-module M is called a (weak) duo module provided every (direct summand) submodu...
AbstractWe show that in an Ore polynomial ring, every left ideal is two-sided only in the trivial co...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
Abstract. Some properties of a ring R in which l(a) is a GW-ideal of R for every a ∈ R are given. Fu...
A paraître dans "Communications in Algebra"A description of right (left) quasi-duo Z-graded rings is...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
In a recent paper, the first author introduced a general theory of corner rings in noncommutative ri...
In a recent paper, the first author introduced a general theory of corner rings in noncommutative ri...
AbstractA characterization of right (left) quasi-duo skew polynomial rings of endomorphism type and ...
AbstractIn a recent paper, the first author introduced a general theory of corner rings in noncommut...
A ring is said to be strongly right bounded if every nonzero right ideal contains a nonzero ideal. I...
A ring is said to be strongly right bounded if every nonzero right ideal contains a nonzero ideal. I...
In this note we shall consider the problem: in what ring A can every homomorphism between two left i...
summary:We introduce weakly strongly quasi-primary (briefly, wsq-primary) ideals in commutative ring...
AbstractWe investigate, in this paper, the connections between the weak π-regularity and the maximal...
Let R be a ring. An R-module M is called a (weak) duo module provided every (direct summand) submodu...
AbstractWe show that in an Ore polynomial ring, every left ideal is two-sided only in the trivial co...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
Abstract. Some properties of a ring R in which l(a) is a GW-ideal of R for every a ∈ R are given. Fu...
A paraître dans "Communications in Algebra"A description of right (left) quasi-duo Z-graded rings is...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
In a recent paper, the first author introduced a general theory of corner rings in noncommutative ri...
In a recent paper, the first author introduced a general theory of corner rings in noncommutative ri...
AbstractA characterization of right (left) quasi-duo skew polynomial rings of endomorphism type and ...
AbstractIn a recent paper, the first author introduced a general theory of corner rings in noncommut...
A ring is said to be strongly right bounded if every nonzero right ideal contains a nonzero ideal. I...
A ring is said to be strongly right bounded if every nonzero right ideal contains a nonzero ideal. I...
In this note we shall consider the problem: in what ring A can every homomorphism between two left i...
summary:We introduce weakly strongly quasi-primary (briefly, wsq-primary) ideals in commutative ring...
AbstractWe investigate, in this paper, the connections between the weak π-regularity and the maximal...
Let R be a ring. An R-module M is called a (weak) duo module provided every (direct summand) submodu...
AbstractWe show that in an Ore polynomial ring, every left ideal is two-sided only in the trivial co...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...