首页|On the groups associated with a tropical n x n matrix
On the groups associated with a tropical n x n matrix
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NSTL
Elsevier
& nbsp;In this paper, the generalized centralizer group U-n(A) of a tropical n x n matrix A and the centralizer group P-n(E) of a tropical idempotent normal matrix E are introduced and studied. It is proved that U(n()A) is a product of two specific normal subgroups. And a structural description of P-n(E) is given when E is not strongly regular. It is also made some observations on E when P-n(E) is isomorphic to a 2-closed transitive permutation group on {1, 2, ... , n}. (C)& nbsp;2021 Elsevier Inc. All rights reserved.
Tropical semiringTropical matrixPermutation groupIdempotent normal matrixStrongly regular matrix
NSTL
Elsevier
