2025/106/3-4 (11)
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DOI: 10.5486/PMD.2025.10002
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pp. 445-459
On $r$-invertible matrices over antirings
Authors:
Aifa Wang 
, Chonghua Cheng and Lili Wang
Abstract:
In this paper, the $r$-invertible matrix over commutative antirings are studied and a series of equivalent characterizations of $r$-invertible matrices over commutative antirings are given.
Keywords: antiring, $r$-invertible matrix, orthogonal decomposition
Mathematics Subject Classification: 16Y60, 15A09