The further study of semimodules over commutative semirings

DOI10.1080/03610926.2019.1609516OpenAlexW2944377543MaRDI QIDQ5078001

Yuying Li, Xiaozhu Xu, Hai-feng Zhang

Publication date: 20 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2019.1609516

zbMATH Keywords

linear transformationdimensionbasissemiringfree setgenerated subsemimodule

Mathematics Subject Classification ID

Statistics (62-XX) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Unnamed Item
• 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
• Linear independence in bottleneck algebras
• Algebraic analysis of fuzzy systems
• On invertible matrices over antirings
• Inversion of matrices over a commutative semiring
• Linear and combinatorial optimization in ordered algebraic structures
• Minimax algebra
• Standard orthogonal vectors in semilinear spaces and their applications
• Bases in max-algebra
• Bases in semimodules over commutative semirings
• Dimensional formulas of semilinear subspaces over semirings
• Free sets and free subsemimodules in a semimodule

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