Modules Determined by Their Tops and Socles

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1986Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 96, page 34 (issn: 0002-9939,

Copyright policy )

Authors: Bongartz, K.; Smalø, S. O.;

doi: 10.2307/2045646 , 10.1090/s0002-9939-1986-0813804-0

Modules Determined by Their Tops and Socles

- Summary
- Subjects
- Metrics

Abstract

We prove that a module in a preprojective component of the Auslander-Reiten quiver of an artin algebra is determined by its top and socle. Also other invariants determining such a module are given.

Keywords

Artinian rings and modules (associative rings and algebras), indecomposable projective module, projective cover, preprojective component, Auslander-Reiten quiver, Artin algebra, Finite rings and finite-dimensional associative algebras, Representation theory of associative rings and algebras, projective resolution

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average