Polynomial interpolation in expanded groups.

DOI10.1016/j.jalgebra.2003.08.008zbMath1033.08001OpenAlexW2015366937MaRDI QIDQ1421798

Paweł M. Idziak, Erhard Aichinger

Publication date: 3 February 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.08.008

zbMATH Keywords

idealpolynomial interpolationexpanded groups\(k\)-affine complete

Mathematics Subject Classification ID

Operations and polynomials in algebraic structures, primal algebras (08A40) Other generalizations of groups (20N99)

Related Items (9)

1-affine completeness of compatible modules ⋮ Compatible extensions of nearrings. ⋮ Polynomial clones on groups of order \(pq\) ⋮ Polynomial clones of Mal'cev algebras with small congruence lattices ⋮ Series and 1-affine completeness ⋮ The finite 1-affine complete Frobenius groups. ⋮ On the Direct Decomposition of Nilpotent Expanded Groups ⋮ Polynomially rich algebras ⋮ The near-ring of congruence-preserving functions on an expanded group.

Cites Work

• Compatible function extension property
• Ideals in universal algebras
• Affine complete varieties
• Mal'cev varieties
• Über die affin vollständigen, endlich erzeugbaren Moduln
• Hagemann's and Herrmann's characterization of strictly affine complete algebras
• Affine complete varieties are congruence distributive
• Produkte von Kongruenzklassengeometrien universeller Algebren
• Direct sums of ordered near-rings
• ON NEAR-RING IDEMPOTENTS AND POLYNOMIALS ON DIRECT PRODUCTS OF Ω-GROUPS
• Groups with Multiple Operators
• Simplicity of Near-Rings of Transformations
• Affine complete Abelian groups
• Geometrical methods in congruence modular algebras
• Tame near-rings and N-groups
• The structure of finite algebras
• Über kompatible Funktionen in universalen Algebren
• Polynomially rich algebras
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