Quasi-Heyting algebras: a new class of lattices
type: Item
instance of: scholarly article
title: Quasi-Heyting algebras: a new class of lattices
zbMATH Open document ID: 0907.06007
DOI: 10.1023/A:1026621524444
author: William David Miller
published in: International Journal of Theoretical Physics
publication date: 1999-03-02T00:00:00Z
review text: Pastings of Boolean algebras along segments and embeddings (as weak as requested) into large Boolean algebras of such structures have long time been investigated. The author makes an attempt to give a definition generalizing orthomodular lattices and Heyting algebras by using Sasaki projections. The new structure is called QHA, short for quasi-Heyting algebras \(Q\). An additional arrow operation allows to prove for elements \(a\), \(b\) of \(Q\) that \(a\subset a\Rightarrow b\) and \(a\Rightarrow b= a\Rightarrow(a\wedge b)\).
reviewed by: Gudrun Kalmbach
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 06D20
zbMATH DE Number: 1196972
zbMATH Keywords: orthomodular lattices
zbMATH Keywords: Sasaki projections
zbMATH Keywords: quasi-Heyting algebras
MaRDI profile type: Publication
full work available at URL: a:1026621524444
OpenAlex ID: W55329058
Recommended article: On \(q\)-lattices and \(q\)-algebras
Recommended article: Lattices of quasiorders on universal algebras
Recommended article: Q3762371
Recommended article: The subalgebra lattice of a Heyting algebra
Recommended article: Q3218183
Recommended article: Heyting Algebras with a Dual Lattice Endomorphism
Recommended article: Q3653804
Recommended article: On quasiorder lattices and topology lattices of algebras
Recommended article: The lattice of quasiorder lattices of algebras on a finite set.
description: scientific article; zbMATH DE number 1196972