A Characterization Of Primal Noetherian Rings.
A generalization of the prime radical of an ideal.
A graph associated to proper non-small ideals of a commutative ring
In this paper, a new kind of graph on a commutative ring is introduced and investigated. Small intersection graph of a ring , denoted by , is a graph with all non-small proper ideals of as vertices and two distinct vertices and are adjacent if and only if is not small in . In this article, some interrelation between the graph theoretic properties of this graph and some algebraic properties of rings are studied. We investigated the basic properties of the small intersection graph as diameter,...
A note on finitely generated ideal-simple commutative semirings
Many infinite finitely generated ideal-simple commutative semirings are additively idempotent. It is not clear whether this is true in general. However, to solve the problem, one can restrict oneself only to parasemifields.
A note on prime modules.
A Note on Skew Polynomial Rings
A short proof of Krull's intersection theorem
A theoreme on derivations in semiprime rings.
An algorithm for the decomposition of ideals of the group ring of a symmetric group.
An approximation theorem for Dubrovin valuation rings.
An ideal-based zero-divisor graph of direct products of commutative rings
In this paper, specifically, we look at the preservation of the diameter and girth of the zero-divisor graph with respect to an ideal of a commutative ring when extending to a finite direct product of commutative rings.
Annihilator ideals of finite dimensional simple modules of two-parameter quantized enveloping algebra
Let be the two-parameter quantized enveloping algebra and the locally finite subalgebra of under the adjoint action. The aim of this paper is to determine some ring-theoretical properties of in the case when is not a root of unity. Then we describe the annihilator ideals of finite dimensional simple modules of by generators.
Associated prime ideals of skew polynomial rings.
Bi-ideals in k-regular and intra k-regular semirings
Here we introduce the k-bi-ideals in semirings and the intra k-regular semirings. An intra k-regular semiring S is a semiring whose additive reduct is a semilattice and for each a ∈ S there exists x ∈ S such that a + xa²x = xa²x. Also it is a semiring in which every k-ideal is semiprime. Our aim in this article is to characterize both the k-regular semirings and intra k-regular semirings using of k-bi-ideals.
Characterization of Regular Semirings
Classification of ideals of -dimensional Radford Hopf algebra
Let be the -dimensional Radford Hopf algebra over an algebraically closed field of characteristic zero. We give the classification of all ideals of -dimensional Radford Hopf algebra by generators.
Codimension B-W d’un idéal à droite non nul de
Soit la première algèbre de Weyl sur . La codimension B-W d’un idéal à droite non nul de a été introduite par Yuri Berest et George Wilson. Nous montrons d’une part que cette codimension est invariante par la relation de Stafford : si , le corps de fractions de , et si , le groupe des -automorphismes de , sont tels que soit un idéal à droite de , alors . Nous relions d’autre part la codimension d’un idéal à la codimension de Gail Letzter-Makar Limanov, de , l’anneau des endomorphismes...
Compatible ideals and radicals of Ore extensions.
Completely Prime Radical and Primary Ideal Representations in Non-Commutative Rings.
Control subgroups and birational extensions of graded rings.