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

被引：3

作者：

Bondarenko, V. M. ^{[1
]}

Bortosh, M. Yu. ^{[1
]}

机构：

[1] Ukrainian Natl Acad Sci, Inst Math, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2017年 / 69卷 / 07期

关键词：

SIMILARITY CLASSES; PRINJECTIVE TYPE; POSETS; REPRESENTATIONS; WILD; ALGEBRAS; FORMS; FIELD; TAME;

D O I：

10.1007/s11253-017-1413-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1034 / 1050

页数：17

共 58 条

[51]

Plakhotnik V. V., 1976, IZV AKAD NAUK SSSR, V40, P527

[52] Similarity of Matrices Over Local Rings of Length Two [J].