{ "id": "0711.3464", "version": "v1", "published": "2007-11-21T21:10:51.000Z", "updated": "2007-11-21T21:10:51.000Z", "title": "On Uniserial Modules in the Auslander-Reiten Quiver", "authors": [ "Axel Boldt", "Ahmad Mojiri" ], "comment": "28 pages; to be published in Journal of Algebra", "categories": [ "math.RT", "math.RA" ], "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.", "revisions": [ { "version": "v1", "updated": "2007-11-21T21:10:51.000Z" } ], "analyses": { "subjects": [ "16G70", "16D80" ], "keywords": [ "auslander-reiten quiver", "uniserial end term", "irreducible maps", "finite-dimensional uniserial modules", "article begins" ], "note": { "typesetting": "TeX", "pages": 28, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0711.3464B" } } }