<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

Published Online: Sep 21, 2017

Page range: 221 - 251

Received: Jan 07, 2015

Accepted: Mar 02, 2015

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

Keywords
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

Published Online: Sep 21, 2017

Page range: 221 - 251

Received: Jan 07, 2015

Accepted: Mar 02, 2015

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

KeywordsHilbert 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.

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