Titlebook: Near-Rings and Near-Fields; Proceedings of the C Yuen Fong,Howard E. Bell,Günter Pilz Conference proceedings 1995 Springer Science+Business

ILEUM

On Regular Near-Ring Modules,near-ring modules. We characterize these modules in terms of certain restricted injectivity properties (Proposition 2.9). Using this characterization we deduce several characterizations of regular near-rings (Theorem 2.10). We also determine a characterization of strictly semisimple near-rings among

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Completely Prime Ideals and Radicals in Near-Rings,. if and only if each minimal prime ideal containing . is a completely prime ideal. A complete classification of the subdirectly irreducible zero symmetric near-rings with a 2-primal heart is provided. Zero symmetric near-rings with each prime ideal completely prime are classified in terms of the 2-

解冻

On Codes From Residue Class Ring Generated Finite Ferrero Pairs,d on a residue class ring. Codes from .-designs are already known for often having good properties concerning error-correction. Unfortunately many of the considered codes seem to have a lower quality at the first glance. But via the simple trick of omitting a few of the codewords it is possible to h

faddish

On Minimal Varieties of Near-Rings,this paper we focus at locally finite minimal varieties of near-rings. They are exactly the varieties generated by finite strictly simple near-rings. We prove that every finite strictly simple near-ring is either a near-ring with the so-called trivial multiplication on a group of prime order or a fi

formula

Syntactic Nearrings, to as the syntactic nearring of ., with δ(x,y) = xσ + yτ for σ, τ, ∈ .. By definition, N.(.) is the subnearring of . generated by under pointwise addition and composition of mappings. We first prove the key result that if (.,+) is a finite group, σ ∈ . and . ∈ Z, then. Finally, we apply the result

Expressly

Characterization of Some Finite Ferrero Pairs,construct different (i.e., nonisomorphic) planar nearrings. However, the geometries (cf. [2, §§6, 7]) derived from these nearrings will be isomorphic. The case of 2-designs has been studied in [6] and some sort of a converse turned out to be true, also.

ostrish

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Construction of Finite Loops of Even Order,e loops which satisfy the automorphic inverse property and the left inverse property but not the Bol identity. It will be shown that, for ., . ∈ ℕ, non-isomorphic .-loops (., ⊕) of order 8. exist which are also Bruck loops, having commutative subgroups (., ⊕) and (., ⊕) of order . and 2., respective

HOWL

-Homomorphisms of Topological ,-Groups, into G such that. This is, of course, just the topological analogue of the definition of .-group as given by G. Pilz on page 13 of [4] and a nearring module or .-module as defined by J.R. Clay on page 261 of [2]. We note that Clay deals primarily with left nearrings while Pilz deals with right near

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