@article{Bondarenko_Bortos_2017, title={Indecomposable and isomorphic objects in the category of monomial matrices over a local ring}, volume={69}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1744}, abstractNote={We study the indecomposability and isomorphism of objects from the category of monomial matrices $\mathrm{M}\mathrm{m}\mathrm{a}\mathrm{t}(K)$ over a commutative local principal ideal ring $K$ (whose objects are square monomial matrices and the morphisms from $X$ to $Y$ are the matrices $C$ such that $XC = CY$). We also study the subcategory $\mathrm{M}\mathrm{m}\mathrm{a}\mathrm{t}_0(K)$ of the category $\mathrm{M}\mathrm{m}\mathrm{a}\mathrm{t}(K)$ with the same objects and only those morphisms that are monomial matrices.}, number={7}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Bondarenko, V. M. and Bortos, M. Yu.}, year={2017}, month={Jul.}, pages={889-904} }