1. Indecomposable and Isomorphic Objects in the Category of Monomial Matrices Over a Local Ring
- Author
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M. Yu. Bortosh and V. M. Bondarenko
- Subjects
Principal ideal ring ,Subcategory ,Discrete mathematics ,Monomial ,Pure mathematics ,Mathematics::Commutative Algebra ,General Mathematics ,010102 general mathematics ,0211 other engineering and technologies ,Local ring ,021107 urban & regional planning ,02 engineering and technology ,Indecomposability ,01 natural sciences ,Morphism ,Mathematics::Category Theory ,Isomorphism ,0101 mathematics ,Indecomposable module ,Mathematics - Abstract
We study the indecomposability and isomorphism of objects from the category of monomial matrices Mmat(K) over a commutative local principal ideal ring K (whose objects are square monomial matrices and the morphisms from X to Y are matrices C such that XC = CY). We also study the subcategory Mmat0(K) of the category Mmat(K) with the same objects and solely with morphisms that are monomial matrices.
- Published
- 2017
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