Orthogonal complements and extending orthogonal subsets of semimodules

DOI10.1080/03081087.2021.1955820OpenAlexW3194844793MaRDI QIDQ5888841

Qian-yu Shu, Xue-ping Wang

Publication date: 25 April 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.1955820

zbMATH Keywords

inner productorthogonal complementsemimodulestandard orthogonal basisextending orthogonal subset

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Theory of modules and ideals in commutative rings (13Cxx)

Cites Work

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• Extending orthogonal subsets of semimodules
• The cardinality of bases in semilinear spaces over commutative semirings
• Inner products on semimodules over a commutative semiring.
• Invertible matrices and semilinear spaces over commutative semirings
• Bases in semilinear spaces over zerosumfree semirings
• Algebraic analysis of fuzzy systems
• Linear and combinatorial optimization in ordered algebraic structures
• Max-algebra: The linear algebra of combinatorics?
• Note on cardinality of bases in semilinear spaces over zerosumfree semirings
• Bases in semimodules over commutative semirings
• Exact rings and semirings.
• Extension of free sets over commutative semirings
• FP-injective semirings, semigroup rings and Leavitt path algebras
• Free sets and free subsemimodules in a semimodule

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