Rank preservers of matrices over additively idempotent and multiplicatively cancellative semirings

2018/07/15 by A. K. Bhuniya, Bhuniya, A. K., Sushobhan Maity +1
Mathematics · #15A03 #15A04 #16Y60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:15A03 #msc:15A04 #msc:16Y60

paper · pdf · doi:10.48550/arxiv.1807.06476

15 pages

arxiv created 2018/07/15 · openalex publication_date 2018/07/15 · arxiv updated 2018/07/18 · openalex created_date 2018/08/03 · openalex updated_date 2026/07/28

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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