Bounding the free spectrum of nilpotent algebras of prime power order

DOI10.1007/s11856-019-1846-xzbMath1435.08005arXiv1805.01796OpenAlexW3101683396WikidataQ128386130 ScholiaQ128386130MaRDI QIDQ2414530

Erhard Aichinger

Publication date: 17 May 2019

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01796

zbMATH Keywords

congruence modular varietyfree spectrumsupernilpotent algebracommutator terms.

Mathematics Subject Classification ID

Structure theory of algebraic structures (08A05) Congruence modularity, congruence distributivity (08B10) Free algebras (08B20)

Related Items (6)

Supernilpotent Taylor algebras are nilpotent ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Congruence preserving expansions of nilpotent algebras ⋮ Even Faster Algorithms for CSAT Over supernilpotent Algebras. ⋮ Finite representation of commutator sequences

Cites Work

• Some applications of higher commutators in Mal'cev algebras
• Polynomial clones on groups of order \(pq\)
• Free spectra of nilpotent varieties
• Three remarks on the modular commutator
• Mal'cev varieties
• On supernilpotent algebras
• Higher commutator theory for congruence modular varieties
• Geometrical methods in congruence modular algebras
• The structure of finite algebras
• Complexity of term representations of finitary functions
• Closed function sets on groups of prime order
• On the Direct Decomposition of Nilpotent Expanded Groups
• On various concepts of nilpotence for expansions of groups
• EVERY (k + 1)-AFFINE COMPLETE NILPOTENT GROUP OF CLASS k IS AFFINE COMPLETE
• Function classes and relational constraints stable under compositions with cloness
• Congruence modular varieties with small free spectra
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