On the theory of varieties of lattice ordered groups

DOI10.1007/BF01978561zbMath0679.20022MaRDI QIDQ1822617

S. A. Gurchenkov

Publication date: 1988

Published in: Algebra and Logic (Search for Journal in Brave)

zbMATH Keywords

Malcev completionfinite basis of identitiesabelian \(\ell \)-groups\(\ell \)-varietyindependent basis of identitieslattice of \(\ell \)-subvarietieslinearly ordered nilpotent groupsnilpotent \(\ell \)-groups

Mathematics Subject Classification ID

Lattices of varieties (08B15) Nilpotent groups (20F18) Quasivarieties and varieties of groups (20E10) Ordered groups (06F15) Varieties of lattices (06B20) Ordered groups (group-theoretic aspects) (20F60)

Related Items (1)

Cyclic extensions of the Medvedev ordered groups

Cites Work

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• On coverings in the lattice of \(\ell\)-varieties
• On the Scrimger varieties of lattice-ordered groups
• Varieties of \(\ell\)-groups with infinite axiomatic rank
• An uncountable tower of \(\ell\)-group varieties
• Derivations of monocomposition algebras
• Primitive Satisfaction and Equational Problems for Lattices and Other Algebras
• A Large Class of Small Varieties of Lattice-Ordered Groups

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