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arXiv · 1807.06476

Rank preservers of matrices over additively idempotent and multiplicatively cancellative semirings

A. K. Bhuniya·Sushobhan Maity
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Abstract

Here we characterize the linear operators that preserve rank of matrices over additively idempotent and multiplicatively cancellative semirings. The main results in this article generalize the corresponding results on the two element Boolean algebra and on the max algebra; and holds on max-plus algebra and some other tropical semirings.

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A. K. Bhuniya, Sushobhan Maity. 2018-07-15. Rank preservers of matrices over additively idempotent and multiplicatively cancellative semirings. https://arxiv.org/abs/1807.06476

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