Numbers implying algebraic structures
type: Item
instance of: scholarly article
title: Numbers implying algebraic structures
zbMATH Open document ID: 0937.08005
author: Józef Dudek
author: Jung R. Cho
published in: Archiv der Mathematik
publication date: 2000-06-13T00:00:00Z
review text: A Plonka sum of algebras is called proper if the semilattice-ordered system for the sum is not trivial and the algebras involved in the sum are not all trivial. The main result of the paper: A commutative idempotent groupoid is a proper Plonka sum of affine spaces over GF(3) if and only if it has 27 essentially 4-ary term functions.
Mathematics Subject Classification ID: 08A40
Mathematics Subject Classification ID: 20N02
Mathematics Subject Classification ID: 08B99
zbMATH DE Number: 1383741
zbMATH Keywords: commutative idempotent groupoid
zbMATH Keywords: proper Plonka sum
zbMATH Keywords: affine spaces
zbMATH Keywords: term functions
reviewed by: Yuri Movsisyan
MaRDI profile type: Publication
full work available at URL: s000130050407
OpenAlex ID: W1969335914
DOI: 10.1007/S000130050407
description: scientific article; zbMATH DE number 1383741