Congruently local V-groupoids with identity form a variety
type: Item
instance of: scholarly article
title: Congruently local V-groupoids with identity form a variety
zbMATH Open document ID: 0729.08007
DOI: 10.1007/BF01189006
author: N. E. Zubov
published in: Algebra Universalis
publication date: 1990-01-01T00:00:00Z
review text: Let V be a variety of algebras of type \(\tau\) having no nullary operations. The class l(V) of congruently local V-algebras is defined to consist of those algebras of type \(\tau\) which have a congruence R such that each class of R is a subalgebra contained in V. The main result of this paper is the following: Theorem. Suppose that a variety V has a binary term t and a constant unary term e being a neutral element for t, that is, V satisfies: i) \(e(x)=e(y)\), ii) \(t(x,e(y))=t(e(y),x)=x.\) Then l(V) is a variety.
Mathematics Subject Classification ID: 08B99
zbMATH DE Number: 4204419
zbMATH Keywords: congruently local V-algebras
reviewed by: Leonid M. Martynov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf01189006
OpenAlex ID: W2051407706
description: scientific article; zbMATH DE number 4204419