DM-GAA

ISSN 1509-9415 (print version)

ISSN 2084-0373 (electronic version)

https://doi.org/10.7151/dmgaa

Discussiones Mathematicae - General Algebra and Applications

Cite Score (2023): 0.6

SJR (2023): 0.214

SNIP (2023): 0.604

Index Copernicus (2022): 121.02

H-Index: 5

Discussiones Mathematicae - General Algebra and Applications

Article in volume

Authors:

M. Sambasiva Rao

Mukkamala Sambasiva Rao

Department of Mathematics
MVGR College of Engineering, Vizianagaram
Andhra Pradesh, India-535005

email: mssraomaths35@rediffmail.com

0000-0002-1627-9603

Title:

Median filters of pseudocomplemented distributive lattices

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Source:

Discussiones Mathematicae - General Algebra and Applications 44(1) (2024) 147-161

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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