EVERY (k + 1)-AFFINE COMPLETE NILPOTENT GROUP OF CLASS k IS AFFINE COMPLETE

DOI10.1142/S0218196706002858zbMath1099.08004OpenAlexW2042572016MaRDI QIDQ5483460

Erhard Aichinger, Jürgen Ecker

Publication date: 14 August 2006

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

Full work available at URL: https://doi.org/10.1142/s0218196706002858

zbMATH Keywords

nilpotent groupsaffine completenesspolynomial completenesscongruence preserving functionscommutator collection

Mathematics Subject Classification ID

Nilpotent groups (20F18) Operations and polynomials in algebraic structures, primal algebras (08A40)

Related Items (9)

Some applications of higher commutators in Mal'cev algebras ⋮ 2-supernilpotent Mal'cev algebras ⋮ Bounding the free spectrum of nilpotent algebras of prime power order ⋮ Central nilpotency of skew braces ⋮ Three concepts of nilpotence in loops ⋮ On the Direct Decomposition of Nilpotent Expanded Groups ⋮ Mal'cev algebras with supernilpotent centralizers ⋮ Complexity of term representations of finitary functions ⋮ Congruence preserving expansions of nilpotent algebras

Cites Work

• 2-affine complete algebras need not be affine complete.
• Polynomial Clones Containing the Mal'tsev Operation of the Groups {\open Z}_{p^{2}} and {\open Z}_p \times {\open Z}_p
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