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e-Invertible Matrices Over Commutative Semirings

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Abstract

In this article, the e-invertible matrices over commutative semirings are studied. Some properties and equivalent characterizations of the e-invertible matrices are given. Also, the interrelationships between invertible matrices and e-invertible matrices over commutative semirings are discussed. The main results obtained in this article generalize and enrich the corresponding results about invertible matrices over commutative semirings.

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Authors and Affiliations

  1. School of Mathematics, Northwest University, Xi’an, Shaanxi, 710127, People’s Republic of China

    Lixia Zhang & Yong Shao

Authors
  1. Lixia Zhang
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  2. Yong Shao
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Correspondence to Lixia Zhang.

Additional information

This work was supported by the Natural Science Foundation of China (No.11571278), the Natural Science Foundation of Shaanxi Province (No.2015JQ1020).

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Zhang, L., Shao, Y. e-Invertible Matrices Over Commutative Semirings. Indian J Pure Appl Math 49, 227–238 (2018). https://doi.org/10.1007/s13226-018-0265-8

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  • DOI: https://doi.org/10.1007/s13226-018-0265-8

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