Congruences and d -filters of principal p -algebras - Egyptian Knowledge Bank

387146

Congruences and d -filters of principal p -algebras

Article

Last updated: 05 Jan 2025

Subjects

Abstract

The concept of d -filters is introduced in p -algebras. Some properties of d -filters are studied.
It is proved that the class F d ( L ) of all d -filters of a p -algebra L is a bounded complete lattice. A
characterization of d -filters of a principal p -algebra is given. Also many properties of congruences
induced by the d -filters are derived. A relationship between the d -filters of a principal p -algebra L and
the congruences in [ , ∇] is established

DOI

10.1016/j.joems.2015.04.003

Keywords

p -Algebras, principal p -algebras, Filters, Congruences

Authors

View Authors

First Name

Abd El-Mohsen

Last Name

Badawy

MiddleName

Affiliation

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Email

City

Orcid

Volume

Article Issue

Related Issue

51062

Issue Date

2016-06-01

Receive Date

2024-10-20

Publish Date

2016-06-01

Page Start

160

Page End

164

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 2_Pages 160-164.pdf

PDF . 337.0kB

Link

https://joems.journals.ekb.eg/article_387146.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387146

Order

387,146

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

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