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Principial Congruences in Algebras.
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We generalize several semigroup-theoretic concepts, including those of principal congruence, ideal and neatness, to universal algebras.
COLLOQUIUM MATHEMATICUM
Biblioteka Nauki
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Biblioteka Nauki
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由 PŁ Idziak 著作1998被引用 8 次 — Introduction. We study definability of principal congruences in certain classes of congruence permutable but not congruence distributive.
A Characterization of Principal Congruences of De Morgan ...
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由 HP Sankappanavar 著作1980被引用 64 次 — In this paper a characterization of principal congruences of De Morgan algebras is given and from it we derive that the variety of De Morgan algebras has ...
Principal Congruences of $p$-Algebras and Double $p
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由 T Hecht 著作1976被引用 25 次 — Introduction. Recently H. Lakser [7] proved that every principal congru- ence of a distributive p-algebra is a join of two principal lattice congruences.
Principal Congruences on S1-Algebras
World Scientific Publishing
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World Scientific Publishing
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由 J Fang 著作2013被引用 1 次 — Abstract. In this paper, we extend the result of Blyth and Varlet on those Stone algebras that have only principal congruences to the class of S1-algebras.
Congruence pairs of principal MS-algebras and perfect ...
arXiv
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由 AEM Badawy 著作2019被引用 6 次 — It is proved that the congruences of the principal MS-algebras L correspond to the MS-congruence pairs on simpler substructures L^{\circ\circ} ...
Definability of principal congruences in equivalential ...
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由 P Idziak 著作1998被引用 8 次 — Definability of principal congruences in equivalential algebras. PaweŁ Idziak; Andrzej Wroński · Colloquium Mathematicae (1998). Volume: 74, Issue: 2, page 225 ...
Definable Principal Congruences and solvability
University of Colorado Boulder
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University of Colorado Boulder
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由 PLM IDZIAK 著作 — In this paper we investigate solvable congruences and algebras in a DPC variety. We shall see that DPC imposes stronger centrality conditions like ...
On Congruences of Principal GK2-Algebras
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由 AEM Badawy 著作被引用 2 次 — Necessary and sufficient conditions for a principal GK2- algebra to have 2-permutable congruences are obtained. Furthermore, it is established ...
(PDF) Principal congruences in de Morgan algebras
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2024年10月22日 — ... A congruence θ on an algebra L is principal if there exist a, b ∈ L such that θ is the smallest congruence relation for which (a, b) ∈ θ .
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