Some Constructions of Extensions of Near-Rings

Near-rings associated with restricted sharply $ 2 $ -transitive groups are studied. Constructions of extensions of near-rings by means of biodules, bimodules, and $ 2 $ -pseudofields are presented. A scheme for doubling the dimension of near-rings is proposed. Examples of near-rings with nonabelian additive groups are given.

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Publication Details

Journal
Siberian Mathematical Journal
Published
2026-03-01
DOI
https://doi.org/10.1134/s0037446626020102
Primary Topic
Rings, Modules, and Algebras
Type
article
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article

Some Constructions of Extensions of Near-Rings

A. A. Simonov
Siberian Mathematical Journal
Rings, Modules, and Algebras
article

Some Constructions of Extensions of Near-Rings

A. A. Simonov
article en

Abstract

Near-rings associated with restricted sharply $ 2 $ -transitive groups are studied. Constructions of extensions of near-rings by means of biodules, bimodules, and $ 2 $ -pseudofields are presented. A scheme for doubling the dimension of near-rings is proposed. Examples of near-rings with nonabelian additive groups are given.

Siberian Mathematical JournalVol. 67(2)
Novosibirsk State University (RU)
Sustainable cities and communities
Openalex Percentile: Top 2%
Rings, Modules, and Algebras
DOISourceOpenAlex
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Some Constructions of Extensions of Near-Rings — A. A. Simonov · Siberian Mathematical Journal (2026) | TGRS Research Map | TGRS