Congruence kernels of orthoimplication algebras.
Chajda, I., Halaš, R., Länger, H. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Chajda, I., Halaš, R., Länger, H. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Armanious, Magdi H. (2002)
Beiträge zur Algebra und Geometrie
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Ivan Chajda, Branimir Šešelja, Andreja Tepavčević (2005)
Czechoslovak Mathematical Journal
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Some geometrical methods, the so called Triangular Schemes and Principles, are introduced and investigated for weak congruences of algebras. They are analogues of the corresponding notions for congruences. Particular versions of Triangular Schemes are equivalent to weak congruence modularity and to weak congruence distributivity. For algebras in congruence permutable varieties, stronger properties—Triangular Principles—are equivalent to weak congruence modularity and distributivity. ...
Bošnjak, Ivica, Madarász, Rozália (2002)
Novi Sad Journal of Mathematics
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Chajda, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Eugen Vedral (2006)
The Teaching of Mathematics
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Ivan Chajda, Gábor Czédli, Eszter K. Horváth (2003)
Mathematica Slovaca
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Ivan Chajda (2009)
Commentationes Mathematicae Universitatis Carolinae
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The concept of relative pseudocomplement is introduced in a commutative directoid. It is shown that the operation of relative pseudocomplementation can be characterized by identities and hence the class of these algebras forms a variety. This variety is congruence weakly regular and congruence distributive. A description of congruences via their kernels is presented and the kernels are characterized as the so-called -ideals.