Centralizer near-rings determined by unions of groups

DOI10.1007/BF03323269zbMath0623.16013OpenAlexW1974734659MaRDI QIDQ1091457

Kirby C. Smith, Carlton J. Maxson, P. R. Fuchs

Publication date: 1987

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323269

zbMATH Keywords

group of automorphismsnear-fieldfiniteness condition2-primitive2-semisimpledirect product of centralizer near-ringsmonoid of functions

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Near-rings (16Y30) Automorphisms of abstract finite groups (20D45) Representations of groups as automorphism groups of algebraic systems (20F29) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Division rings and semisimple Artin rings (16Kxx) Radicals and radical properties of associative rings (16Nxx)

Related Items (1)

THE LATTICE OF IDEALS OF THE NEARRING OF COSET PRESERVING FUNCTIONS

Cites Work

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• Über Parallelstrukturen. I: Grundbegriffe. II: Translationsstrukturen. III: Zentrale \(t\)-Strukturen
• Centralizer representations of near-fields
• Near-rings associated with generalized translation structures
• On semisimple rings that are centralizer near-rings
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• Centraliser near-rings determined by fixed point free automorphism groups
• Near-rings of mappings
• The centralizer of a set of group automorphisms
• The simplicity of near-rings of mappings

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