Indecomposable and isomorphic objects in the category of monomial matrices over a local ring

• Date: 2017
• Main Authors: Bondarenko, V. M., Bortos, M. Yu., Бондаренко, В. М., Бортош, М. Ю.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1744
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 tha...