%0 Journal Article %A Marijuán, Carlos %A Ojeda, Ignacio %A Vigneron Tenorio, Alberto %T A Note on Decomposable and Reducible Integer Matrices %D 2021 %@ 2073-8994 %U http://hdl.handle.net/10498/25643 %X 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. %K integer matrix %K hermite normal form %K decomposable matrix %K reducible matrix %K disconnected graph %~ Universidad de Cádiz