user

Invertible Matrices over Finite Additively Idempotent Semirings

被引：0
|
作者：
Andreas Kendziorra
Stefan E. Schmidt
Jens Zumbrägel
机构：
[1] University College Dublin,Claude Shannon Institute, School of Mathematical Sciences
[2] Technische Universität Dresden,Institut für Algebra, Fachrichtung Mathematik
来源：
Semigroup Forum | 2013年 / 86卷
关键词：
Matrix inversion; Semirings; Lattices;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate invertible matrices over finite additively idempotent semirings. The main result provides a criterion for the invertibility of such matrices. We also give a construction of the inverse matrix and a formula for the number of invertible matrices.
引用
收藏
页码：525 / 536
页数：11
相关论文
共 50 条
  • [1] Invertible Matrices over Finite Additively Idempotent Semirings
    Kendziorra, Andreas
    Schmidt, Stefan E.
    Zumbraegel, Jens
    [J]. SEMIGROUP FORUM, 2013, 86 (03) : 525 - 536
  • [2] Finite simple additively idempotent semirings
    Kendziorra, Andreas
    Zumbraegel, Jens
    [J]. JOURNAL OF ALGEBRA, 2013, 388 : 43 - 64
  • [3] On semimodules over commutative, additively idempotent semirings
    Sokratova, O
    [J]. SEMIGROUP FORUM, 2002, 64 (01) : 1 - 11
  • [4] On Semimodules over Commutative Additively Idempotent Semirings
    Sokratova O.
    [J]. Semigroup Forum, 2001, 64 (1) : 1 - 11
  • [5] Invertible matrices over a class of semirings
    Dolzan, David
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (04)
  • [6] On strongly invertible matrices over semirings
    Tan, Yi-Jia
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (12): : 2501 - 2511
  • [7] On invertible matrices over commutative semirings
    Tan, Yi-Jia
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (06): : 710 - 724
  • [8] Structures of idempotent matrices over chain semirings
    Kanc, Kyung-Tae
    Song, Seok-Zun
    Yang, Younc-Oh
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (04) : 721 - 729
  • [9] Factor rank preservers of matrices over additively-idempotent multiplicatively-cancellative semirings
    Maity, Sushobhan
    Bhuniya, A. K.
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (05)
  • [10] Note on invertible matrices over commutative semirings
    Liao, Ya-lin
    Wang, Xue-ping
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (03): : 477 - 483
12345