On lattices of varieties of universal algebras
J. Płonka (1987)
Colloquium Mathematicae
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J. Płonka (1987)
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В.А. Горбунов, V. A Gorbunov, V. A Gorbunov, V. A Gorbunov (1995)
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B. M. Vernikov (1990)
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В.А. Горбунов, V. A. Gorbunov, V. A. Gorbunov, V. A. Gorbunov (1995)
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Ж.А. Омаров (1990)
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Ivan Chajda, Helmut Länger (2001)
Discussiones Mathematicae - General Algebra and Applications
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It is shown that in the variety of orthomodular lattices every hypersubstitution respecting all absorption laws either leaves the lattice operations unchanged or interchanges join and meet. Further, in a variety of lattices with an involutory antiautomorphism a semigroup generated by three involutory hypersubstitutions is described.
R. Beazer (1974)
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M. E. Adams (1974)
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Dietmar Schweigert (1988)
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Bachoc, Christine, Batut, Christian (1992)
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Batut, Christian, Quebbemann, Heinz-Georg, Scharlau, Rudolf (1995)
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Walter Taylor (1981)
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Yi-Qun Zhang, Ya-Ming Wang, Hua-Wen Liu (2024)
Kybernetika
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In this paper, we present the representation for uni-nullnorms with disjunctive underlying uninorms on bounded lattices. It is shown that our method can cover the representation of nullnorms on bounded lattices and some of existing construction methods for uni-nullnorms on bounded lattices. Illustrative examples are presented simultaneously. In addition, the representation of null-uninorms with conjunctive underlying uninorms on bounded lattices is obtained dually.