Characterization of congruence lattices of principal p-algebras

Author:

El-Mohsen Badawy Abd1

Affiliation:

1. Department of Mathematics Faculty of Science Tanta University Tanta Egypt

Abstract

Abstract A characterization of the congruence lattice of a principal p-algebra satisfying a certain condition in terms of congruence pairs is given.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference12 articles.

1. Badawy, A.—Shum, K. P.: Congruences and Boolean filters of quasi-modular p-algebras, Discuss. Math. Gen. Algebra Appl. 34 (2014), 109–123.

2. Badawy, A.—Shum, K. P.: Congruence pairs of principal p-algebras, Math. Slovaca 67 (2017), 263–270.

3. Badawy, A.—Atallah, M.: Boolean filters of principal p-algebras, Int. J. Math. Comput. 26, (2015), 15–25.

4. Badawy, A.: Congruences and d-filters of principal p-algebras, J. Egyptian Math. Soc. 24 (2016), 160–164.

5. Badawy, A.: Filters of p-algebras with respect to a closure operator, Southeast Asian Bull. Math. 40 (2016), 37–47.

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1. Congruence Pairs of Decomposable MS-Algebras;Chinese Annals of Mathematics, Series B;2021-07

2. Congruence pairs of principal MS-algebras and perfect extensions;Mathematica Slovaca;2020-12-01

3. Congruence lattices of connected monounary algebras;Algebra universalis;2020-10-30

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