Abstract
We let G be a group, and we let k be a natural number. We assume that G is nilpotent of class at most k, and that every (k + 1)-ary congruence preserving function on G is a polynomial function. We show that then every congruence preserving function on G (of any finite arity) is a polynomial function.
Original language | English |
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Article number | 2 |
Pages (from-to) | 259-274 |
Number of pages | 16 |
Journal | International Journal of Algebra and Computation |
Volume | 16 |
Issue number | 2 |
DOIs | |
Publication status | Published - Apr 2006 |
Keywords
- Affine completeness
- Commutator collection
- Congruence preserving functions
- Nilpotent groups
- Polynomial completeness