<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The aim of this work is to introduce some types of filters in Hilbert algebras. Some theorems are stated and proved which determine the relationship between these notions and other filters of Hilbert algebra and by some examples we show that these concepts are different. The relationships between these filters and quotient algebras that are constructed via these filters are described. </p></abstract>

The aim of this work is to introduce some types of filters in Hilbert algebras. Some theorems are stated and proved which determine the relationship between these notions and other filters of Hilbert algebra and by some examples we show that these concepts are different. The relationships between these filters and quotient algebras that are constructed via these filters are described.

Study of Hilbert algebras in point of filters

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Study of Hilbert algebras in point of filters"}

The aim of this work is to introduce some types of filters in Hilbert algebras. Some theorems are stated and proved which determine the relationship between...

Study of Hilbert algebras in point of filters

Publié en ligne: 21 sept. 2017

Pages: 221 - 251

Reçu: 07 janv. 2015

Accepté: 02 mars 2015

DOI: https://doi.org/10.1515/auom-2016-0039

Mots clés
Hilbert algebra (with infimum, with supremum), (implicative, positive implicative, Boolean, fantastic) filter, Boolean algebra

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Study of Hilbert algebras in point of filters

Publié en ligne: 21 sept. 2017

Pages: 221 - 251

Reçu: 07 janv. 2015

Accepté: 02 mars 2015

DOI: https://doi.org/10.1515/auom-2016-0039

Mots clésHilbert algebra (with infimum, with supremum), (implicative, positive implicative, Boolean, fantastic) filter, Boolean algebra

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
Hilbert algebra (with infimum, with supremum), (implicative, positive implicative, Boolean, fantastic) filter, Boolean algebra