On extending congruences from partial algebras
Isidore Fleischer (1975)
Fundamenta Mathematicae
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Displaying similar documents to “Regularity in p-algebras and p-semilattices”
On extending congruences from partial algebras
A note on distributive double -algebras
Hector Gramaglia, Diego Vaggione (1998)
Czechoslovak Mathematical Journal
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Regularity of algebras with applications to congruence class geometry
Jaromír Duda (1983)
Archivum Mathematicum
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Congruences on semilattices with section antitone involutions
Ivan Chajda (2010)
Discussiones Mathematicae - General Algebra and Applications
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We deal with congruences on semilattices with section antitone involution which rise e.g., as implication reducts of Boolean algebras, MV-algebras or basic algebras and which are included among implication algebras, orthoimplication algebras etc. We characterize congruences by their kernels which coincide with semilattice filters satisfying certain natural conditions. We prove that these algebras are congruence distributive and 3-permutable.
Hemirings, congruences and the Hewitt realcompactification.
Acharyya, S.K., Chattopadhyay, K.C., Ray, G.G. (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Congruence properties of distributive double -algebras
Michael E. Adams, Rodney Beazer (1991)
Czechoslovak Mathematical Journal
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Congruence kernels of distributive PJP-semilattices
S. N. Begum, Abu Saleh Abdun Noor (2011)
Mathematica Bohemica
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A meet semilattice with a partial join operation satisfying certain axioms is a JP-semilattice. A PJP-semilattice is a pseudocomplemented JP-semilattice. In this paper we describe the smallest PJP-congruence containing a kernel ideal as a class. Also we describe the largest PJP-congruence containing a filter as a class. Then we give several characterizations of congruence kernels and cokernels for distributive PJP-semilattices.