JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (4): 67-73.doi: 10.6040/j.issn.1671-9352.0.2019.007

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e-invertible matrices over antirings

YIN Jiao-jiao, SHAO Yong*, HAN Jin   

  1. School of Mathematics, Northwest University, Xian 710127, Shaanxi, China
  • Published:2020-04-09

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Abstract: The e-invertible matrices over commutative antirings are investigated. Some properties and equivalent characterizations of the e-invertible matrices are given. The relationship between semilinear transformation on a semilinear space and e-invertible matrix over commutative antirings is revealed.

Key words: antiring, e-invertible matrix, diagonal matrix

CLC Number: 

  • O151.21
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