On Uniserial Modules in the Auslander-Reiten Quiver

Details On Uniserial Modules in the Auslander-Reiten Quiver On Uniserial Modules in the Auslander-Reiten Quiver

2007-11-21

arxiv.org/abs/0711.3464v1

Mathematics

Representation Theory

28 pages; to be published in Journal of Algebra

Scientific paper

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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