Indexed Orthomodular Lattices.
Melvin F. Janowitz (1971)
Mathematische Zeitschrift
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Melvin F. Janowitz (1971)
Mathematische Zeitschrift
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Melvin F. Janowitz (1968/69)
Mathematische Zeitschrift
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P.J. McCarthy (1965)
Mathematische Zeitschrift
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Arnold Neumaier (1983)
Mathematische Zeitschrift
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Sherwin P. Avann (1964)
Mathematische Zeitschrift
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Richard Haydon (1977)
Mathematische Zeitschrift
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Hua Mao (2017)
Open Mathematics
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We characterize complete atomistic lattices whose classification lattices are geometric. This implies an proper solution to a problem raised by S. Radeleczki in 2002.
Rudolf Scharlau (1994)
Mathematische Zeitschrift
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Radomír Halaš (2002)
Discussiones Mathematicae - General Algebra and Applications
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It is well known that every complete lattice can be considered as a complete lattice of closed sets with respect to appropriate closure operator. The theory of q-lattices as a natural generalization of lattices gives rise to a question whether a similar statement is true in the case of q-lattices. In the paper the so-called M-operators are introduced and it is shown that complete q-lattices are q-lattices of closed sets with respect to M-operators.
John Chancey (1972)
Mathematische Zeitschrift
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M.E. Adams, J. Sichler (1976)
Mathematische Zeitschrift
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Gül Deniz Çayli (2023)
Kybernetika
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Uninorms on bounded lattices have been recently a remarkable field of inquiry. In the present study, we introduce two novel construction approaches for uninorms on bounded lattices with a neutral element, where some necessary and sufficient conditions are required. These constructions exploit a t-norm and a closure operator, or a t-conorm and an interior operator on a bounded lattice. Some illustrative examples are also included to help comprehend the newly added classes of uninorms. ...
Manoj Dhake, Sachin Ballal, Vilas Kharat, Rupesh S. Shewale (2025)
Mathematica Bohemica
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We characterize the pseudomodular lattices by means of a forbidden configuration.
William Feldmann (1988)
Mathematische Zeitschrift
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Bachoc, Christine, Batut, Christian (1992)
Experimental Mathematics
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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.