Nasab, Soleimani A.; Borumand Saeid, A. Study of Hilbert algebras in point of filters. (English) Zbl 1389.03031 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 24, No. 2, 221-251 (2016). Summary: 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. Cited in 7 Documents MSC: 03G25 Other algebras related to logic 06F35 BCK-algebras, BCI-algebras Keywords:Hilbert algebra with infimum; Hilbert algebra with supremum; implicative filter; positive implicative filter; Boolean filter; fantastic filter; Boolean algebra PDFBibTeX XMLCite \textit{S. A. Nasab} and \textit{A. Borumand Saeid}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 24, No. 2, 221--251 (2016; Zbl 1389.03031) Full Text: DOI