Name
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. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1142/S0218196706002858 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
polynomial completeness, affine completeness, congruence preserving functions, commutator collection, nilpotent groups | Affine transformation,Discrete mathematics,Natural number,Arity,Polynomial,Nilpotent group,Algebra,Unipotent,Congruence (geometry),Mathematics,Nilpotent | Journal |
Volume | Issue | ISSN |
16 | 2 | 0218-1967 |
Citations | PageRank | References |
1 | 0.46 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Erhard Aichinger | 1 | 2 | 2.92 |
| Jürgen Ecker | 2 | 1 | 1.14 |