@misc{10498/25643,
year = {2021},
month = {7},
url = {http://hdl.handle.net/10498/25643},
abstract = {We propose necessary and sufficient conditions for an integer matrix to be decomposable in
terms of its Hermite normal form. Specifically, to each integer matrix, we associate a symmetric integer
matrix whose reducibility can be efficiently determined by elementary linear algebra techniques, and
which completely determines the decomposability of the first one.},
organization = {This reserach was partially supported by the Ministerio de Economia y Competitividad (Spain)/FEDER-UE under grants PGC2018-096446-B-C21 and MTM2017-84890-P, by the Junta de Extremadura(Spain)/FEDER funds, research group FQM-024, and by the Junta de Andalucia (Spain), research group FQM-366.
Document},
publisher = {MDPI},
keywords = {integer matrix},
keywords = {hermite normal form},
keywords = {decomposable matrix},
keywords = {reducible matrix},
keywords = {disconnected graph},
title = {A Note on Decomposable and Reducible Integer Matrices},
doi = {10.3390/sym13071125},
author = {Marijuán, Carlos and Ojeda, Ignacio and Vigneron Tenorio, Alberto},
}