The near-ring of congruence-preserving functions on an expanded group

Erhard Aichinger

doi:10.1016/j.jpaa.2005.06.014

The near-ring of congruence-preserving functions on an expanded group

Erhard Aichinger

Institut für Algebra

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

Abstract

We investigate the near-ring of zero preserving congruence preserving functions on a finite expanded group, and compute its structure modulo the radical. Let V be a finite expanded group, and let V' be the algebra that we obtain by adding all congruence preserving functions as fundamental operations. We determine the labelling of the prime quotients of the congruence lattice of V' in the sense of Tame Congruence Theory.

Originalsprache	Englisch
Seiten (von - bis)	74-93
Seitenumfang	20
Fachzeitschrift	Journal of Pure and Applied Algebra
Volume	205
Ausgabenummer	1
DOIs	https://doi.org/10.1016/j.jpaa.2005.06.014
Publikationsstatus	Veröffentlicht - Apr. 2006

Wissenschaftszweige

101001 Algebra

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10.1016/j.jpaa.2005.06.014

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Verknüpfung zur Publikation in Scopus

Planar Near-rings: Theory and Application
Boykett, T. (Forscher*in), Ecker, J. (Forscher*in), Mayr, P. (Forscher*in), Wendt, G. (Forscher*in) & Pilz, G. (Projektleiter*in)
01.05.2002 → 31.05.2006
Projekt: Geförderte Forschung › FWF - Österreichischer Wissenschaftsfonds

Dieses zitieren

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The near-ring of congruence-preserving functions on an expanded group

Abstract

Wissenschaftszweige

Zugriff auf Dokument

Andere Dateien und Links

Projekte

Planar Near-rings: Theory and Application

Dieses zitieren