Ordered Hom-groups based on Hom-compatibility

DOI10.1007/s12215-022-00835-7OpenAlexW4308441273MaRDI QIDQ6078404

Hassane Bouremel, Zoheir Chebel, Hadjer Adimi

Publication date: 24 October 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00835-7

zbMATH Keywords

positive coneconvex Hom-subgroupHom compatible orderHom-groupHom-subgrouphomomorphism of Hom-groupisomorphism of ordered Hom-groupnormal-Hom subgroupordered Hom-group

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Poisson algebras (17B63) Ternary compositions (17A40)

Cites Work

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• Fuzzy lattice ordered groups
• Topological lattice ordered groups
• Universal algebra of a Hom-Lie algebra and group-like elements
• Lattices and ordered algebraic structures
• Hom-Lie algebras and Hom-Lie groups, integration and differentiation
• Lagrange's theorem for Hom-groups
• Deformations of Lie algebras using \(\sigma\)-derivations
• Hom-algebra structures
• Partially ordered abelian groups
• Lattice-ordered groups
• Locally solid topological lattice-ordered groups
• Hom-quantum groups: I. Quasi-triangular Hom-bialgebras
• Convergence and Cauchy Structures on Lattice Ordered Groups
• Hom-groups, representations and homological algebra

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