Article in press
Authors:
Mukkamala Sambasiva Rao
Department of Mathematics
MVGR College of Engineering, Vizianagaram
Andhra Pradesh, India-535005
email: mssraomaths35@rediffmail.com
Title:
Median filters of pseudocomplemented distributive lattices
PDFSource:
Discussiones Mathematicae - General Algebra and Applications
Received: 2022-11-27 , Revised: 2022-12-13 , Accepted: 2022-12-14 , Available online: 2023-11-14 , https://doi.org/10.7151/dmgaa.1446
Abstract:
Coherent filters, strongly coherent filters, and $\tau $-closed filters are
introduced in pseudo-complemented distributive lattices and their
characterization theorems are derived. A set of equivalent conditions is
derived for every filter of a pseudo-complemented distributive lattice to
become a coherent filter. The notion of median filters is introduced and some
equivalent conditions are derived for every maximal filter of a
pseudo-complemented distributive lattice to become a median filter which leads
to a characterization of Stone lattices.
Keywords:
coherent filter, strongly coherent filter, median filter, minimal prime filter, maximal filter, Stone lattice
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