Year: 2017
Type: article
Abstract: We consider clones on countable sets. If such a clone has quasigroup operations, is locally closed and countable, then there is a function $${f : \mathbb{N} \rightarrow \mathbb{N}}$$ such that the n-ary part of C is equal to the n-ary part of Pol $${{\rm Inv}^{[f(n)]} C}$$ , where $${{\rm Inv}^{[f(n)]} C}$$ denotes the set of f(n)-ary invariant relations of C.
Source: Algebra Universalis
Author: Erhard Aichinger
Institution: Johannes Kepler University of Linz
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W2519087744