Indecomposable and Isomorphic Objects in the Category of Monomial Matrices Over a Local Ring

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 Mmat...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2017-12, Vol.69 (7), p.1034-1050
Main Authors: Bondarenko, V. M., Bortosh, M. Yu
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Isomorphism
Mathematics
Mathematics and Statistics
Statistics
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Summary: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 Mmat 0 ( K ) of the category Mmat( K ) with the same objects and solely with morphisms that are monomial matrices.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-017-1413-8