The Krull-Schmidt Theorem Holds for Finite Direct Products of Biuniform Groups
Sign Up to like & getrecommendations! Published in 2018 at "Algebras and Representation Theory"
DOI: 10.1007/s10468-017-9715-y
Abstract: We prove that the Krull-Schmidt Theorem holds for finite direct products of biuniform groups, that is, groups G whose lattice of normal subgroups ????(G)$\mathcal {N}(G)$ has Goldie dimension and dual Goldie dimension 1. More generally,… read more here.
Keywords: holds finite; theorem holds; finite direct; krull schmidt ... See more keywords
Auslander-Reiten theory in quasi-abelian and Krull-Schmidt categories
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2019.04.017
Abstract: Abstract We generalise some of the theory developed for abelian categories in papers of Auslander and Reiten to semi-abelian and quasi-abelian categories. In addition, we generalise some Auslander-Reiten theory results of S. Liu for Krull-Schmidt… read more here.
Keywords: reiten theory; auslander reiten; krull schmidt; schmidt categories ... See more keywords