P. Emanovský, Jiří Rachůnek (2008)
Czechoslovak Mathematical Journal
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Pseudo -autonomous lattices are non-commutative generalizations of -autonomous lattices. It is proved that the class of pseudo -autonomous lattices is a variety of algebras which is term equivalent to the class of dualizing residuated lattices. It is shown that the kernels of congruences of pseudo -autonomous lattices can be described as their normal ideals.
Ladislav Beran (2004)
Acta Universitatis Carolinae. Mathematica et Physica
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G. Rousseau (1970)
Fundamenta Mathematicae
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Ivan Chajda (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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We introduce the concept of a pseudo-Kleene algebra which is a non-distributive modification of a Kleene algebra introduced by J. A. Kalman [Kalman, J. A.: Lattices with involution. Trans. Amer. Math. Soc. 87 (1958), 485–491.]. Basic properties of pseudo-Kleene algebras are studied. For pseudo-Kleene algebras with a fix-point there are determined subdirectly irreducible members.
Angelo Bella, János Gerlits (1992)
Commentationes Mathematicae Universitatis Carolinae
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A sufficient condition for the pseudo radiality of the product of two compact Hausdorff spaces is given.
G. Grätzer (1971)
Fundamenta Mathematicae
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Gill, J.B. (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Young Bae Jun, Hee Sik Kim, J. Neggers (2006)
Matematički Vesnik
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Akbar Rezaei, Arsham Borumand Saeid, Andrzej Walendziak (2017)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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The notions of a dual pseudo-Q algebra and a dual pseudo-QC algebra are introduced. The properties and characterizations of them are investigated. Conditions for a dual pseudo-Q algebra to be a dual pseudo-QC algebra are given. Commutative dual pseudo-QC algebras are considered. The interrelationships between dual pseudo-Q/QC algebras and other pseudo algebras are visualized in a diagram.