Infinite products in monoids
type: Item
instance of: scholarly article
title: Infinite products in monoids
zbMATH Open document ID: 0601.20061
DOI: 10.1007/BF02573152
author: Patrick Dehornoy
published in: Semigroup Forum
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134828
review text: For any monoid M in a certain class containing the abelian monoids and the groups, a monoid structure is constructed on some quotient set of \(M^{{\mathbb{N}}}\), the set of all \({\mathbb{N}}\)-indexed sequences in M. Moreover this monoid is endowed with infinitary products extending its binary law in a natural way. Applications of these constructions in set theory and computer science are outlined.
Mathematics Subject Classification ID: 20M35
Mathematics Subject Classification ID: 03D05
Mathematics Subject Classification ID: 68Q45
Mathematics Subject Classification ID: 20M15
zbMATH DE Number: 3968920
zbMATH Keywords: abelian monoids
zbMATH Keywords: monoid structure
zbMATH Keywords: \({bbfN}\)-indexed sequences
zbMATH Keywords: infinitary products
MaRDI profile type: Publication
cites work: \(\Pi^ 1_ 1\)-complete families of elementary sequences
cites work: Langages infinitaires et produit de mixage
cites work: Maximal serializability of iterated transactions
cites work: Q4126563
cites work: Descriptive set theory
description: scientific article; zbMATH DE number 3968920