Abstract
Let A be a finite algebra in a congruence permutable variety. We assume
that for every subdirectly irreducible homomorphic image of A the centralizer of
the monolith is n-supernilpotent. Then the clone of polynomial functions on A is
determined by relations of arity |A|n+1. As consequences we obtain finite implicit
descriptions of the polynomial functions on finite local rings with 1 and on finite
groups G such that in every subdirectly irreducible quotient of G the centralizer of
the monolith is a p-group.
| Original language | English |
|---|---|
| Pages (from-to) | 193-211 |
| Number of pages | 19 |
| Journal | Algebra Universalis |
| Volume | 65 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Apr 2011 |
Fields of science
- 101001 Algebra
- 101009 Geometry
- 101025 Number theory
- 101005 Computer algebra
JKU Focus areas
- Computation in Informatics and Mathematics
- Engineering and Natural Sciences (in general)