Results 21 to 30 of about 85 (73)
Nontrivially pseudocomplemented lattices are complemented [PDF]
Proceedings of the American Mathematical Society, 1979 Nontrivially pseudocomplemented lattices are complemented.
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Principal congruences of pseudocomplemented distributive lattices [PDF]
Proceedings of the American Mathematical Society, 1973 Principal congruences of pseudocomplemented distributive lattices are characterized. This characterization is used to give a new proof of the congruence extension property and to show that the meet of two principal congruences is always principal in an equational class of pseudocomplemented distributive lattices if and only if the class is a subclass ...
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The structure of pseudocomplemented distributive lattices. II. Congruence extension and amalgamation [PDF]
Transactions of the American Mathematical Society, 1971 This paper continues the examination of the structure of pseudocomplemented distributive lattices. First, the Congruence Extension Property is proved. This is then applied to examine properties of the equational classes
Grätzer, G., Lakser, H.
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Implications in pseudocomplemented and Stone lattices
Two kinds of the connective implication are introduced as term operations of a pseudocomplemented lattice. It is shown that they share a lot of properties with the intuitionistic implication based on Heyting algebras. In particular, if the pseudocomplemented lattice in question is a Stone lattice then the considered implications satisfy some kind of ...
Chajda, Ivan, Länger, Helmut
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Pseudocomplemented distributive lattices with small endomorphism monoids [PDF]
Bulletin of the Australian Mathematical Society, 1983 By a result of K.B. Lee, the lattice of varieties of pseudo-complemented distributive lattices is the ω + 1 chainwhere B−1, B0, B1 are the varieties formed by all trivial, Boolean, and Stone algebras, respectively. General theorems on relative universality proved in the present paper imply that there is a proper class of non-isomorphic algebras in B3 ...
Adams, M. E., Koubek, V., Sichler, J.
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The structure of pseudocomplemented distributive lattices. I. Subdirect decomposition [PDF]
Transactions of the American Mathematical Society, 1971 In this paper all subdirectly irreducible pseudocomplemented distributive lattices are found. This result is used to establish a Stone-like representation theorem conjectured by G. Grätzer and to find all equational subclasses of the class of pseudocomplemented distributive lattices.
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$$\sigma $$ σ -Ideals in distributive pseudocomplemented residuated lattices
Soft Computing, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Pseudocomplemented algebras with Boolean congruence lattices [PDF]
Journal of the Australian Mathematical Society, 1978 AbstractComplemented congruences in the classes of pseudocomplemented semilattices, p-algebras and double p-algebras are described. The descriptions are applied to give intrinsic characterizations of those algebras in the aforementioned classes whose congruence lattice is a Boolean algebra.
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Implication in finite posets with pseudocomplemented sections. [PDF]
Soft comput, 2022 Chajda I, Länger H.
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ON n-MIXED PRODÜCT OF PSEUDOCOMPLEMENTED DISTRIBUTIVE LATTICES
Demonstratio Mathematica, 1986 The author defines for a finite family of pseudocomplemented distributive lattices what she calls a mixed product. She then considers the variety generated by all such mixed products, and obtains a finite base for this variety.
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