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
Characterization of rings using finite-direct-injective modules
Sign Up to like & getrecommendations! Published in 2019 at "Asian-European Journal of Mathematics"
DOI: 10.1142/s1793557120501338
Abstract: In this paper, we characterize strongly right [Formula: see text]-rings in terms of finite-direct-injective modules which is a generalization of direct-injective modules (or [Formula: see text]-modules). Using this result, we give an example of a… read more here.
Keywords: module; injective modules; finite direct; formula see ... See more keywords