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Nilpotent and solvable radicals in locally finite congruence modular varieties

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Publication:1104960
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DOI10.1007/BF01195264zbMath0648.08007MaRDI QIDQ1104960

Ralph McKenzie

Publication date: 1987

Published in: Algebra Universalis (Search for Journal in Brave)


zbMATH Keywords

commutatorlocally finite congruence modular varietiesLoewy ranknilpotent congruencesolvable congruence


Mathematics Subject Classification ID

Congruence modularity, congruence distributivity (08B10)


Related Items (4)

Finite equational bases for congruence modular varieties ⋮ On the Loewy rank of infinite algebras ⋮ On quasi-identities of finite nilpotent algebras ⋮ A Characterization of Finitely Decidable Congruence Modular Varieties



Cites Work

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  • Finite equational bases for congruence modular varieties
  • A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity
  • An easy way to the commutator in modular varieties
  • Congruence modularity is permutability composed with distributivity
  • Finite equational bases for finite algebras in a congruence-distributive equational class
  • Residually Small Varieties with Modular Congruence Lattices
  • The structure of finite algebras


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