The Rank of Matrices Over Positive Cones of Commutative Semirings

In this work, we introduced and studied the PC rank notion of a commutative semiring, and compared the PC rank with the nonnegative rank and the factor ranks of matrices, and gived also some sufficient conditions for these ranks to be the same.

Authors

Publication Details

Journal
VNU Journal of Science Mathematics - Physics
Published
2024-12-27
DOI
https://doi.org/10.25073/2588-1124/vnumap.4913
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
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article

The Rank of Matrices Over Positive Cones of Commutative Semirings

Hà Chí Công
VNU Journal of Science Mathematics - Physics
Advanced Algebra and Logic
article

The Rank of Matrices Over Positive Cones of Commutative Semirings

Hà Chí Công
article en

Abstract

In this work, we introduced and studied the PC rank notion of a commutative semiring, and compared the PC rank with the nonnegative rank and the factor ranks of matrices, and gived also some sufficient conditions for these ranks to be the same.

VNU Journal of Science Mathematics - PhysicsVol. 40(4)
Reduced inequalities
Openalex Percentile: Top 71%
Advanced Algebra and Logic
DOIOpen Access PDFOpenAlex
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The Rank of Matrices Over Positive Cones of Commutative Semirings — Hà Chí Công · VNU Journal of Science Mathematics - Physics (2024) | TGRS Research Map | TGRS