Zmin上秩-1矩阵的周长不等式及线性保持算子

Journal of Jilin University Science Edition

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Perimeter Inequality and LinearPreserving Operators ofRank-1 Matrices over Z_min

ZHANG Tinghai¹, DENG Zhongshu²

1. College of Mathematics and Informatics, Jiangxi Normal University, Nanchang 330022, China；2. Editorial Department of Journal, Nanchang University, Nanchang 330047, China

Received:2015-03-16 Online:2015-11-26 Published:2015-11-23
Contact: ZHANG Tinghai E-mail:tinghaizh@163.com

Abstract

Abstract:

Based on the preserving properties of the perimeter of Boolean rank1 matrices and the equivalence of the dominating relation bet
ween matrices over Boolean algebra B andZ_min, the inequality on the perimeter of the sum of two rank1 matrices over Z_min and the linear operator of preserving the rank and perimeter. At last it get the properties of preserving the rank and perimeter 2 of rank1 matrices over Z_min.

Key words: rank-1 matrix, perimeter, dominate, pattern, (U,V)operator

CLC Number:

O151.21

ZHANG Tinghai, DENG Zhongshu. Perimeter Inequality and LinearPreserving Operators ofRank-1 Matrices over Z_min[J].Journal of Jilin University Science Edition, 2015, 53(06): 1081-1085.

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Perimeter Inequality and LinearPreserving Operators ofRank-1 Matrices over Z_min

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Perimeter Inequality and LinearPreserving Operators ofRank-1 Matrices over Z_min