A class of hyperrings and hyperfields.
A new Kurosh-Amitsur radical theory for proper semifields. II.
A new Kurosh-Amitsur radical theory for proper semifields. I.
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 structure theorem for KT-nearfields.
About projective planes over weakly distributive skew-fields and systems.
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.
Automorphismengruppen achtdimensionaler lokalkompakter Quasikörper.