On polynomial completeness properties of finite Mal'cev algebras

DOI10.1142/S0218196724500243MaRDI QIDQ6593810

Bernardo Rossi

Publication date: 27 August 2024

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

polynomial interpolationMal'cev algebrascongruence identities

Mathematics Subject Classification ID

Structure theory of algebraic structures (08A05) Operations and polynomials in algebraic structures, primal algebras (08A40)

Cites Work

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• Commutator theory for loops.
• Algebras in permutable varieties: Geometrical properties of affine algebras
• Types of polynomial completeness of expanded groups
• Affine complete varieties
• Congruences on products of algebras and functionally complete algebras
• Über die affin vollständigen, endlich erzeugbaren Moduln
• Polynomial interpolation in expanded groups.
• Hagemann's and Herrmann's characterization of strictly affine complete algebras
• Affine complete varieties are congruence distributive
• Polynomial functions on subdirect products
• Bounding the free spectrum of nilpotent algebras of prime power order
• Kongruenzklassengeometrien
• Produkte von Kongruenzklassengeometrien universeller Algebren
• The structure of finite algebras
• Über kompatible Funktionen in universalen Algebren
• Congruence lattices forcing nilpotency
• Polynomially rich algebras

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