Affine categories and naturally Mal'cev categories
type: Item
instance of: scholarly article
title: Affine categories and naturally Mal'cev categories
zbMATH Open document ID: 0683.18007
DOI: 10.1016/0022-4049(89)90075-3
published in: Journal of Pure and Applied Algebra
publication date: 1989-01-01T00:00:00Z
review text: A Mal'cev operation on a set A is a ternary operation P which satisfies \(p(x,y,y)=x\) and \(p(x,x,y)=y\) for all \(x,y\in A\). The concept of a Mal'cev operation can be extended to that of a natural Mal'cev operation in any category with finite products. The main result is a characterization of categories which have a natural Mal'cev operation.
Mathematics Subject Classification ID: 18E05
zbMATH DE Number: 4118558
zbMATH Keywords: categories with natural Mal'cev operation
author: Peter Johnstone
MaRDI profile type: Publication
full work available at URL: 0022-4049(89)90075-3
OpenAlex ID: W2052866013
cites work: Categories of affine spaces
cites work: Q5523691
cites work: Mal'cev varieties
description: scientific article; zbMATH DE number 4118558