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
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.