Reducibility and irreducibility of monomial matrices over commutative rings

被引：0

作者：

Bondarenko, Vitaliy M. ^{[1
]}

Bortos, Maria Yu. ^{[2
]}

Dinis, Ruslana F. ^{[3
]}

Tylyshchak, Alexander A. ^{[4
]}

机构：

[1] Inst Math, Fereshchenkivsk 3, UA-01601 Kiev, Ukraine

[2] Uzhgorod Natl Univ, Fac Math, UA-88000 Uzhgorod, Ukraine

[3] Kyiv Natl Tras Sheychenko Univ, Fac Mech & Math, UA-01033 Kiev, Ukraine

[4] Uzhgorod Natl Univ, Fac Math, UA-88000 Uzhgorod, Ukraine

来源：

ALGEBRA & DISCRETE MATHEMATICS | 2013年 / 16卷 / 02期

关键词：

irreducible matrix; similarity; local ring; Jacobson radical;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a local ring with nonzero Jacobson radical. We study monomial matrices over R of the form 0 ... 0 t(sn) ( t(s1) ... 0 0 ) , 3 vertical dots (SIC) 3 vertical dots 3 vertical dots 0 ... t(sn-1) 0 and give a criterion for such matrices to be reducible when, n <= 6, s1 . . . , sn epsilon{0,1} and the radical is a principal ideal with generator t. We also show that the criterion does not hold for n = 7.

引用

页码：171 / 187

页数：17

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