Congruence pairs of decomposable MS-algebras

DOI10.1007/s11401-021-0278-1OpenAlexW3191670090MaRDI QIDQ2047230

Abd El-Mohsen Badawy, Sanaa El-Assar

Publication date: 19 August 2021

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-021-0278-1

zbMATH Keywords

congruence latticespermutabilityMS-algebrascongruence pairsdecomposable MS-algebrasstrong extension

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30)

Cites Work

• \(d_L\)-filters of principal MS-algebras.
• Quadruple construction of decomposable double \textit{MS}-algebras
• Closure filters of decomposable MS-algebras
• Congruences and De Morgan filters of decomposable MS-algebras
• Balanced factor congruences of double MS-algebras
• Complete decomposable MS-algebras
• Homomorphisms and subalgebras of decomposable MS-algebras
• Congruence pairs of principal p-algebras
• On a common abstraction of de Morgan algebras and Stone algebras
• Subvarieties of the class of MS-algebras
• On a Problem of G. Gratzer
• Extensions of the Glivenko‐type congruences on a Stone lattice
• Congruence pairs of principal MS-algebras and perfect extensions
• Characterization of congruence lattices of principal p-algebras
• Constraction of a core regular double MS-algebra
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