Mal'cev complexes
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
It is well known that an equivalence relation is invariant under the basic operations of an algebra if and only if it is invariant under the unary polynomials of the algebra. We show that a higher arity version of this property holds for a higher dimensional analogue of an equivalence relation. It follows that the (n)-Ary hypercommutator for an algebra is determined by its (n)-Ary polynomials. We construct examples to show that this fails for every arity of the term condition higher commutator.
Details
Originalsprache | Englisch |
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Seitenumfang | 18 |
Fachzeitschrift | International journal of algebra and computation |
Jahrgang | 34 |
Ausgabenummer | 6 |
Publikationsstatus | Angenommen/Im Druck - 2024 |
Peer-Review-Status | Ja |
Schlagworte
ASJC Scopus Sachgebiete
Schlagwörter
- congruence, Higher commutator theory, Mal'cev chain