|Table of Contents|

Weighted group inverses of matrices over semiringsYANG(PDF)

《纺织高校基础科学学报》[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2016年03期
Page:
294-298
Research Field:
Publishing date:

Info

Title:
Weighted group inverses of matrices over semiringsYANG
Author(s):
Yang1REN Miaomiao2WANG Jinyu2
1.Department of Basic,Xi’an Siyuan University,Xi’an 710038,China;
2.Department of Mathematics,Northwest University,Xi’an 710127, China
Keywords:
semiring weighted group inverses congruence lattice
PACS:
O 152.7
DOI:
10.13338/j.issn.1006-8341.2016.03.004
Abstract:
In order to study the weighted group inverses of matrices over a semiring,group inverses of matrix and T-V inverse are introduced.The existence and uniqueness of weighted group inverses over a semiring is analysed. Some necessary and sufficient conditions of product of three matrices the weighted group inverses over a semiring are obtianed, and the expressions of the weighted group inverses over a semiring are given. The obtained results generalize some conclusions for group inverses of square matrices over a semiring.

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Last Update: 2016-10-08