e-Invertible Matrices Over Commutative Semirings

Lixia Zhang () and Yong Shao ()
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Lixia Zhang: Northwest University
Yong Shao: Northwest University

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 2, 227-238

Abstract: 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.

Keywords: Commutative semiring; multiplicative idempotent element; e-invertible matrix; ε-determinant (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0265-8

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