Bases of a free semimodule are small.

DOI10.1016/j.laa.2014.10.002zbMath1308.16035OpenAlexW2001310389MaRDI QIDQ472416

Yaroslav N. Shitov

Publication date: 19 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.10.002

zbMATH Keywords

commutative semiringscardinalities of basesfree semimodules

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Semirings (16Y60) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (2)

Extending orthogonal subsets of semimodules ⋮ PROJECTIVE AND INJECTIVE PARTIAL MODULES AND UNIVERSAL APPLICATIONS

Cites Work

• The cardinality of bases in semilinear spaces over commutative semirings
• Note on cardinality of bases in semilinear spaces over zerosumfree semirings
• Bases in semimodules over commutative semirings

This page was built for publication: Bases of a free semimodule are small.