Free sets and free subsemimodules in a semimodule

DOI10.1016/j.laa.2016.02.006zbMath1332.15009OpenAlexW2285940584MaRDI QIDQ5965415

Yi-Jia Tan

Publication date: 3 March 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.02.006

zbMATH Keywords

semiringfree setfree subsemimodulerank of semimodulesemimodule

Mathematics Subject Classification ID

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

Related Items (5)

Orthogonal complements and extending orthogonal subsets of semimodules ⋮ The further study of semimodules over commutative semirings ⋮ Dedekind’s linear independence theorem over commutative semirings ⋮ Note on the free sets and free subsemimodules in semimodules ⋮ Extension of free sets over commutative semirings

Cites Work

• The cardinality of bases in semilinear spaces over commutative semirings
• Inner products on semimodules over a commutative semiring.
• On the separation of convex sets in some idempotent semimodules
• Invertible matrices and semilinear spaces over commutative semirings
• On nilpotency of matrices over antirings
• Extensions of semimodules and injective semimodules.
• Inversion of matrices over a commutative semiring
• Linear and combinatorial optimization in ordered algebraic structures
• Duality and separation theorems in idempotent semimodules.
• Determinantal identities over commutative semirings
• Note on cardinality of bases in semilinear spaces over zerosumfree semirings
• Bases in semimodules over commutative semirings
• Public key cryptography based on semigroup actions
• Dimensional formulas of semilinear subspaces over semirings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Free sets and free subsemimodules in a semimodule