Quasi-Algebras versus Regular Algebras - Part I
Starting from quasi-Wajsberg algebras (which are generalizations of Wajsberg algebras), whose regular sets are Wajsberg algebras, we introduce a theory of quasi-algebras versus, in parallel, a theory of regular algebras. We introduce the quasi-RM, quasi-RML, quasi-BCI, (commutative, positive implica...
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Alexandru Ioan Cuza University of Iasi
2015-06-01
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Series: | Scientific Annals of Computer Science |
Online Access: | http://www.info.uaic.ro/bin/download/Annals/XXV1/XXV1_4.pdf |
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doaj-a8944c7e6b76485e93886055f3b144d62020-11-25T01:22:59ZengAlexandru Ioan Cuza University of IasiScientific Annals of Computer Science1843-81212248-26952015-06-01XXV18913110.7561/SACS.2015.1.89Quasi-Algebras versus Regular Algebras - Part IA. IorgulescuStarting from quasi-Wajsberg algebras (which are generalizations of Wajsberg algebras), whose regular sets are Wajsberg algebras, we introduce a theory of quasi-algebras versus, in parallel, a theory of regular algebras. We introduce the quasi-RM, quasi-RML, quasi-BCI, (commutative, positive implicative, quasi-implicative, with product) quasi-BCK, quasi-Hilbert and quasi-Boolean algebras as generalizations of RM, RML, BCI, (commutative, positive implicative, implicative, with product) BCK, Hilbert and Boolean algebras respectively. In Part I, the first part of the theory of quasi-algebras - versus the first part of a theory of regular algebras - is presented. We introduce the quasi-RM and the quasi-RML algebras and we present two equivalent definitions of quasi-BCI and of quasi-BCK algebras.http://www.info.uaic.ro/bin/download/Annals/XXV1/XXV1_4.pdf |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
A. Iorgulescu |
spellingShingle |
A. Iorgulescu Quasi-Algebras versus Regular Algebras - Part I Scientific Annals of Computer Science |
author_facet |
A. Iorgulescu |
author_sort |
A. Iorgulescu |
title |
Quasi-Algebras versus Regular Algebras - Part I |
title_short |
Quasi-Algebras versus Regular Algebras - Part I |
title_full |
Quasi-Algebras versus Regular Algebras - Part I |
title_fullStr |
Quasi-Algebras versus Regular Algebras - Part I |
title_full_unstemmed |
Quasi-Algebras versus Regular Algebras - Part I |
title_sort |
quasi-algebras versus regular algebras - part i |
publisher |
Alexandru Ioan Cuza University of Iasi |
series |
Scientific Annals of Computer Science |
issn |
1843-8121 2248-2695 |
publishDate |
2015-06-01 |
description |
Starting from quasi-Wajsberg algebras (which are generalizations of Wajsberg algebras), whose regular sets are Wajsberg algebras, we introduce a theory of quasi-algebras versus, in parallel, a theory of regular algebras. We introduce the quasi-RM, quasi-RML, quasi-BCI, (commutative, positive implicative, quasi-implicative, with product) quasi-BCK, quasi-Hilbert and quasi-Boolean algebras as generalizations of RM, RML, BCI, (commutative, positive implicative, implicative, with product) BCK, Hilbert and Boolean algebras respectively. In Part I, the first part of the theory of quasi-algebras - versus the first part of a theory of regular algebras - is presented. We introduce the quasi-RM and the quasi-RML algebras and we present two equivalent definitions of quasi-BCI and of quasi-BCK algebras. |
url |
http://www.info.uaic.ro/bin/download/Annals/XXV1/XXV1_4.pdf |
work_keys_str_mv |
AT aiorgulescu quasialgebrasversusregularalgebrasparti |
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