Titlebook: Nearrings and Nearfields; Proceedings of the C Hubert Kiechle,Alexander Kreuzer,Momme Johs Thomse Conference proceedings 2005 Springer Scie

BOOR

From Involution Sets, Graphs and Loops to Loop-Nearrings, §6 and §7. In §5 we derive a partial binary operation from an involution set and we discuss if such operation is a Bol operation or a K-operation, in §6, we relate involution sets with loops. In §7 we look for the possibility to construct loop-nearrings by considering the automorphism groups of loops.

Prosaic

Semi-Nearrings of Bivariate Polynomials over a Field operations on bivariate polynomials analogous to addition and composition of univariate polynomials. We investigate the seminearring of bivariate polynomials determined by these operations looking at its properties and internal algebraic structures.

intuition

Planar Near-Rings, Sandwich Near-Rings and Near-Rings with Right Identityg this result we characterize planar near-rings and near-rings solving the equation xa=c in terms of such centralizer near-rings with sandwich multiplication. We also get results on primitive near-rings and on minimal left ideals in primitive near-rings.

Intractable

Some Problems Related to Near-Rings of MappingIn this paper we discuss three areas of research relative to near-rings of mappings and mention several open questions.

Perceive

特别容易碎

Difference Methods and Ferrero PairsWe present a construction method of BIB-designs from a finite group . and a group of automorphisms Φ on . such that |Φ(.)| = |Φ| for all . ∈ ., . ≠ 0. By using a generalization of the concept of a difference family we can so unify several previous constructions of BIB-designs from planar near-rings.

Overstate

On the ,-Prime Radical of Near-RingsThe .-prime radical . of 0-symmetric near-rings is an idempotent Hoehnke radical; either .(.)=0 or .(.)=.(.) the prime radical. The radical classes of . and . coincide. In a universal class of near-rings, if the .-prime radical is complete then .=..

令人不快

VOC

Near-Rings, Cohomology and ExtensionsAfter historical considerations on the cohomology of groups and near- rings and extensions of near-rings, we analyze some near-rings playing a rôle in constructing the cohomology of groups. Then the notion of pseudo-modules does appear naturally and it is presented.

流浪