A Counter-Example in Jacobson Radicals

A Counter-Example in Jacobson Radicals

A plausible conjecture states that an element of the Jocobson radical of the endomorphism ring of an abelian p-group increases the height of any non-zero element of the socle. I construct a counter-example.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the American Mathematical Society 1994-11, Vol.122 (3), p.961-964
1. Verfasser: Schultz, Phillip
Format: Artikel
Sprache:eng
Schlagworte:
Homomorphisms
Mathematical rings
Mathematical transitivity
Sufficient conditions
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A plausible conjecture states that an element of the Jocobson radical of the endomorphism ring of an abelian p-group increases the height of any non-zero element of the socle. I construct a counter-example.
ISSN:0002-9939
1088-6826
DOI:10.2307/2160778