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

M. Sambasiva Rao

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

email: msraomaths35@rediffmail.com

Title:

$\sigma$-filters of commutative $BE$-algebras

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Source:

Discussiones Mathematicae - General Algebra and Applications 43(1) (2023) 121-134

Received: 2021-07-13 , Revised: 2021-11-04 , Accepted: 2021-11-04 , Available online: 2023-01-11 , https://doi.org/10.7151/dmgaa.1417

Abstract:

The concept of $\sigma $-filters is introduced in commutative $BE$-algebras and some properties of these classes of filters are studied. Some equivalent conditions are derived for every filter of a commutative $BE$-algebra to become a $\sigma $-filter. Some necessary and sufficient conditions are given for every regular filter of a commutative $BE$-algebra to become a $\sigma $-filter. A set of equivalent conditions is given for the class of all $\sigma $-filters of a commutative $BE$-algebra to become a sublattice to the lattice of all filters.

Keywords:

commutative $BE$-algebra, dual annihilator filter, prime filter, $\sigma $-filter, regular filter, O-filter

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