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

  • V. M. Bondarenko Ин-т математики НАН Украины, Киев
  • M. Yu. Bortos

Abstract

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.
Published
25.07.2017
How to Cite
BondarenkoV. M., and BortosM. Y. “Indecomposable and Isomorphic Objects in the Category of monomial Matrices over a Local Ring”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, no. 7, July 2017, pp. 889-04, http://umj.imath.kiev.ua/index.php/umj/article/view/1744.
Section
Research articles