On the minimal extension of the sequence \(\langle 0,1,1,7\rangle \)
type: Item
instance of: scholarly article
title: On the minimal extension of the sequence \(\langle 0,1,1,7\rangle \)
zbMATH Open document ID: 0903.08003
published in: Algebra Universalis
publication date: 1998-11-23T00:00:00Z
review text: The \(p_n\)-sequence of an algebra \(A\) is the sequence \(\langle p_0,p_1,p_2,\ldots \rangle \) of cardinalities of the sets of essentially \(n\)-ary operations over \(A\). Having the 4-tuple \(\langle 0,1,1,7\rangle \) there is the question whether there exists a \(p_n\)-sequence beginning with this 4-tuple and having the minimal possible cardinalities \(p_i\). The authors show that \(\langle 0,1,1,7\rangle \) has this minimal extension property in the class of all algebras with a nonassociative binary operation.
reviewed by: Ivan Chajda
Mathematics Subject Classification ID: 08A40
Mathematics Subject Classification ID: 08B20
zbMATH DE Number: 1226216
zbMATH Keywords: \(p_n\)-sequence
zbMATH Keywords: minimal extension
author: Dabin Wang
author: Andrzej Kisielewicz
MaRDI profile type: Publication
full work available at URL: s000120050029
OpenAlex ID: W1982540951
DOI: 10.1007/S000120050029
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description: scientific article; zbMATH DE number 1226216