RANK-PRESERVING OPERATORS OF NONNEGATIVE INTEGER MATRICES | Zendy

Seok-Zun Song | Zendy; Kyungtae Kang | Zendy; Young-Bae Jun | Zendy

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RANK-PRESERVING OPERATORS OF NONNEGATIVE INTEGER MATRICES

Author(s) -

Seok-Zun Song,

Kyungtae Kang,

Young-Bae Jun

Publication year - 2005

Publication title -

communications of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.286

H-Index - 15

eISSN - 2234-3024

pISSN - 1225-1763

DOI - 10.4134/ckms.2005.20.4.671

Subject(s) - combinatorics , rank (graph theory) , mathematics , invertible matrix , integer (computer science) , operator (biology) , linear map , discrete mathematics , pure mathematics , computer science , programming language , biochemistry , chemistry , repressor , transcription factor , gene

The set of all matrices with entries in is denoted by . We say that a linear operator T on is a (U, V)-operator if there exist invertible matrices and such that either T(X) = UXV for all X in , or m = n and T(X) = for all X in . In this paper we show that a linear operator T preserves the rank of matrices over the nonnegative integers if and only if T is a (U, V)operator. We also obtain other characterizations of the linear operator that preserves rank of matrices over the nonnegative integers.

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