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:

Disjunctive inclusion property in pseudo-complemented distributive lattices

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Source:

Discussiones Mathematicae - General Algebra and Applications 44(1) (2024) 233-244

Received: 2022-12-16 , Revised: 2023-04-14 , Accepted: 2023-04-14 , Available online: 2024-03-25 , https://doi.org/10.7151/dmgaa.1453

Abstract:

Disjunctive inclusion property of several prime ideals and prime filters of pseudo-complemented lattices is studied. Algebraic structures like Boolean algebras and Stone lattices are characterized with the help of the disjunctive inclusion property of prime ideals and prime filters. A set of equivalent conditions is given for every Stone lattice to become a Boolean algebra.

Keywords:

disjunctive inclusion property, minimal prime ideal, minimal prime filter, kernel ideal, $\delta $-ideal, Stone lattice, Boolean algebra

References:

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