Collapsing inverse monoids
type: Item
instance of: scholarly article
title: Collapsing inverse monoids
zbMATH Open document ID: 1128.08002
author: Miklós Dormán
published in: Algebra Universalis
publication date: 2007-07-20T00:00:00Z
review text: The author defines an inverse submonoid \(\text{IS}(L)\) of the semigroup of all transformations of the underlying set \(L\) of a finite lattice \textbf{L}, and gives a necessary and sufficient condition for such a transformation monoid to be collapsing in the sense that there is exactly one clone on \(L\) whose unary part is exactly \(\text{IS}(L)\). The definition of \(\text{IS}(L)\) is too technical to be reproduced here.
reviewed by: L. Márki
Mathematics Subject Classification ID: 08A40
Mathematics Subject Classification ID: 20M18
Mathematics Subject Classification ID: 20M20
zbMATH DE Number: 5173455
zbMATH Keywords: clone of operations
zbMATH Keywords: transformation monoid
zbMATH Keywords: inverse monoid
zbMATH Keywords: collapsing monoid
MaRDI profile type: Publication
full work available at URL: s00012-007-1998-0
OpenAlex ID: W2040935073
DOI: 10.1007/S00012-007-1998-0
description: scientific article; zbMATH DE number 5173455