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On Uniserial Modules in the Auslander-Reiten Quiver

2007/11/21 by Axel Boldt, Boldt, Axel, Ahmad Mojiri +1
Mathematics · #16G70 (Primary) 16D80 (Secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16D80 #msc:16G70

paper · pdf · doi:10.48550/arxiv.0711.3464

28 pages; to be published in Journal of Algebra

arxiv created 2007/11/21 · openalex publication_date 2007/11/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article begins the study of irreducible maps involving finite-dimensional uniserial modules over finite-dimensional associative algebras. We work on the classification of irreducible maps between two uniserials over triangular algebras, and give estimates for the number of middle terms of an almost split sequence with a uniserial end term.

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