\((m,n)\)-rings as algebras with only one operation (Q2708492)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \((m,n)\)-rings as algebras with only one operation |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \((m,n)\)-rings as algebras with only one operation |
scientific article |
Statements
23 October 2001
0 references
\((m,n)\)-rings
0 references
\(n\)-groups
0 references
varieties
0 references
0 references
0.87462914
0 references
0.8609328
0 references
\((m,n)\)-rings as algebras with only one operation (English)
0 references
A class of \((m,n)\)-rings with the \(m\)-ary operation derived from a binary commutative group is characterized as a variety of algebras with one \((3m+n-5)\)-ary operation and one constant. For \(m=n=2\) this is a result obtained by \textit{Yu. Sorkin} [see: Usp. Mat. Nauk 12, No. 4(76), 357-362 (1957; Zbl 0079.04505)].
0 references
