Growth rates of algebras. III: Finite solvable algebras

DOI10.1007/s00012-016-0396-xzbMath1366.08001arXiv1311.2359OpenAlexW2507275325MaRDI QIDQ331018

Ágnes Szendrei, Emil W. Kiss, Keith A. Kearnes

Publication date: 26 October 2016

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

Full work available at URL: https://arxiv.org/abs/1311.2359

zbMATH Keywords

growth ratetame congruence theorynilpotent algebraabelian algebraMaltsev termpointed cube termsolvable algebra

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Subalgebras, congruence relations (08A30) Operations and polynomials in algebraic structures, primal algebras (08A40)

Related Items

The size of generating sets of powers ⋮ Minimal abelian varieties of algebras, I ⋮ Continuality of classes of functions in multivalued logic with minimal logarithmic growth rate ⋮ Between an n-ary and an n + 1-ary near-unanimity term

Cites Work

• Clones satisfying the term condition
• A Hamiltonian property for nilpotent algebras
• A geometric consequence of residual smallness
• Abelian algebras and the Hamiltonian property
• Finite algebras of finite complexity
• RESIDUAL SMALLNESS AND WEAK CENTRALITY
• GROWTH OF GENERATING SETS FOR DIRECT POWERS OF CLASSICAL ALGEBRAIC STRUCTURES
• GROWTH RATES OF ALGEBRAS, I: POINTED CUBE TERMS
• The structure of finite algebras
• AN ORDER-THEORETIC PROPERTY OF THE COMMUTATOR
• Minimal sets and varieties
• Growth rates of algebras, II: Wiegold dichotomy

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