Local nearrings with additive groups of order 128

The determination of the finite non-abelian p-groups which are the additive groups of local nearrings is an open problem (Feigelstock, 2006). Therefore it is important to determine such groups and to classify some classes of nearrings with identity on these groups, for example, local nearrings. We study local nearrings on 2-generated groups of order 128.

Publication Details

Journal
The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy
Published
2024-11-21
Primary Topic
Diverse Scientific and Economic Studies
Type
article
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article

Local nearrings with additive groups of order 128

The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy
Diverse Scientific and Economic Studies
article

Local nearrings with additive groups of order 128

article en

Abstract

The determination of the finite non-abelian p-groups which are the additive groups of local nearrings is an open problem (Feigelstock, 2006). Therefore it is important to determine such groups and to classify some classes of nearrings with identity on these groups, for example, local nearrings. We study local nearrings on 2-generated groups of order 128.

The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy
Openalex Percentile: Top 30%
Diverse Scientific and Economic Studies
Open Access PDFOpenAlex
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Local nearrings with additive groups of order 128 · The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy (2024) | TGRS Research Map | TGRS