Affine endomorphism near-rings
Algebraic complexity of path problems
Algebras, prerings, semirings and rectangular bands.
Algèbres de polynômes tropicaux
Nous continuons dans ce second article, l’étude des outils algébrique de l’algèbre de la caractéristique 1 : nous examinons plus spécialement ici les algèbres de polynômes sur un semi-corps idempotent. Ce travail est motivé par le développement de la géométrie tropicale qui apparaît comme étant la géométrie algébrique de l’algèbre tropicale. En fait l’objet algébrique le plus intéressant est l’image de l’algèbre de polynôme dans son semi-corps des fractions. Nous pouvons ainsi retrouver sur les...
An extension theorem and a new construction of Dickson near-fields.
An extension theorem and a new construction of Dickson near-fields. (Short Communications).
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.
Archimedean property of ordered semirings.
-ideals and -ideals in non-commutative semirings
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.
Bi-ideal-simple semirings
Commutative congruence-simple semirings were studied in [2] and [7] (but see also [1], [3]--[6]). The non-commutative case almost (see [8]) escaped notice so far. Whatever, every congruence-simple semiring is bi-ideal-simple and the aim of this very short note is to collect several pieces of information on these semirings.
Boolean semirings
Categorical investigation of -graded -algebras
Centralizer near-rings acting on SE-groups.
Centralizer near-rings determined completely regular inverse semigroups.
Centralizers and the isomorphism problem for nearrings.
Certain near-rings are rings. II.
Chain conditions on semirings.
Characteristic of M-polysymmetrical Hyperrings and some properties of M-Polysymmetrical Hyperrings with Unity
Characterization of Regular Semirings