Extension of free sets over commutative semirings

DOI10.1080/03081087.2019.1704209zbMath1486.16051OpenAlexW2995634848WikidataQ126537900 ScholiaQ126537900MaRDI QIDQ5012478

Qiao Lei, Qian-yu Shu, Xue-ping Wang

Publication date: 24 November 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1704209

zbMATH Keywords

free setsemimodulecommutative semiringfree basis

Mathematics Subject Classification ID

Semirings (16Y60) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

Orthogonal complements and extending orthogonal subsets of semimodules

Cites Work

• Invertible matrices and semilinear spaces over commutative semirings
• Bases in semilinear spaces over zerosumfree semirings
• Linear independence in bottleneck algebras
• Algebraic analysis of fuzzy systems
• Generators, extremals and bases of max cones
• Inversion of matrices over a commutative semiring
• Generalized fuzzy matrices
• Linear and combinatorial optimization in ordered algebraic structures
• Max-algebra: The linear algebra of combinatorics?
• Tropical convexity
• Bases in semimodules over commutative semirings
• Note on invertible matrices over commutative semirings
• Linear independence over tropical semirings and beyond
• Idempotent functional analysis: An algebraic approach
• Free sets and free subsemimodules in a semimodule
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Extension of free sets over commutative semirings