The Group of Quotients of the Semigroup of Invertible Nonnegative Matrices Over Local Rings

被引：0
作者：
Nemiro V.V. [1 ]
机构：
[1] Moscow State University, Moscow
来源：
Journal of Mathematical Sciences | 2021年 / 257卷 / 6期
关键词：
D O I：
10.1007/s10958-021-05526-9
中图分类号：
学科分类号：
摘要：
In this paper, we prove that for a linearly ordered local ring R with 1/2 the group of quotients of the semigroup of invertible nonnegative matrices Gn(R) for n ≥ 3 coincides with the group GLn(R). © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
引用
收藏
页码：860 / 875
页数：15
相关论文
共 50 条
[41]   Automorphisms of semigroups of invertible matrices with nonnegative integer elements [J].
Semenov, P. P. .
SBORNIK MATHEMATICS, 2012, 203 (09) :1342-1356
[42]   Congruence of symmetric matrices over local rings [J].
Cao, Yonglin ;
Szechtman, Fernando .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (09) :1687-1690
[43]   INVOLUTORY MATRICES OVER FINITE LOCAL RINGS [J].
MCDONALD, BR .
CANADIAN JOURNAL OF MATHEMATICS, 1972, 24 (03) :369-&
[44]   Some decompositions of matrices over local rings [J].
Bien, M. H. ;
Nhan, P. T. ;
Nhat, N. H. T. .
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025, 24 (03)
[45]   SIMILARITY OF MATRICES OVER LOCAL-RINGS [J].
GURALNICK, RM .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1981, 41 (DEC) :161-174
[46]   Equivalence of diagonal matrices over local rings [J].
Amini, Babak ;
Amini, Afshin ;
Facchini, Alberto .
JOURNAL OF ALGEBRA, 2008, 320 (03) :1288-1310
[47]   COLUMN-PARTITIONED MATRICES OVER RINGS WITHOUT INVERTIBLE TRANSVERSAL SUBMATRICES [J].
Foldes, Stephan ;
Lehtonen, Erkko .
ARS COMBINATORIA, 2010, 97 :33-39
[48]   Torsion matrices over abelian group rings [J].
Marciniak, ZS ;
Sehgal, SK .
JOURNAL OF GROUP THEORY, 2000, 3 (01) :67-75
[49]   GROUP STRUCTURES OF TWISTULANT MATRICES OVER RINGS [J].
Tapia-Recillas, Horacio ;
Velazco-Velazco, J. Armando .
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2025, 38 :90-103
[50]   Two remarks on matrices over group rings [J].
E. I. Timoshenko .
Mathematical Notes, 2016, 99 :172-174
12345