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QBCC-algebras inherited from qosets

Radomír Halaš, Jiří Ort (2003)

Mathematica Slovaca

Quantized dual graded graphs.

Lam, Thomas (2010)

The Electronic Journal of Combinatorics [electronic only]

The concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic. The logic of quantales and its algebraic semantics manifests itself in a class of partially ordered algebras with a pair of implicational operations recently introduced as quantum B-algebras. Implicational algebras like pseudo-effect algebras, generalized BL- or MV-algebras, partially ordered groups, pseudo-BCK algebras, residuated posets,...

Quantum logics and bivariable functions

Eva Drobná, Oľga Nánásiová, Ľubica Valášková (2010)

Kybernetika

New approach to characterization of orthomodular lattices by means of special types of bivariable functions $G$ is suggested. Under special marginal conditions a bivariable function $G$ can operate as, for example, infimum measure, supremum measure or symmetric difference measure for two elements of an orthomodular lattice.

Quantum logics with classically determined states

Paolo de Lucia, Pavel Pták (1999)

Colloquium Mathematicae

Quasi locally connected toposes.

Bunge, Marta, Funk, Jonathon (2007)

Theory and Applications of Categories [electronic only]

Quasicomplemented lattices

William H. Cornish (1974)

Commentationes Mathematicae Universitatis Carolinae

Quasicomplemented semilattices

Ivan Chajda (1990)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Quasi-complete ideal lattices

Johnny A. Johnson (1975)

Colloquium Mathematicae

Quasicontinuous posets.

P. Venugopalan (1990)

Semigroup forum

Quasicontinuous spaces

Jing Lu, Bin Zhao, Kaiyun Wang, Dong Sheng Zhao (2022)

Commentationes Mathematicae Universitatis Carolinae

We lift the notion of quasicontinuous posets to the topology context, called quasicontinuous spaces, and further study such spaces. The main results are: (1) A $T_{0}$ space $(X, τ)$ is a quasicontinuous space if and only if $S I (X)$ is locally hypercompact if and only if $(τ_{S I}, \subseteq)$ is a hypercontinuous lattice; (2) a $T_{0}$ space $X$ is an $S I$ -continuous space if and only if $X$ is a meet continuous and quasicontinuous space; (3) if a $C$ -space $X$ is a well-filtered poset under its specialization order, then $X$ is a quasicontinuous space...

Quasi-hereditary algebras which are twisted double incidence algebras of posets.

Deng, Bangming, Xi, Changchang (1995)

Beiträge zur Algebra und Geometrie

Quasi-implication algebras

Ivan Chajda, Kamil Dušek (2002)

Discussiones Mathematicae - General Algebra and Applications

A quasi-implication algebra is introduced as an algebraic counterpart of an implication reduct of propositional logic having non-involutory negation (e.g. intuitionistic logic). We show that every pseudocomplemented semilattice induces a quasi-implication algebra (but not conversely). On the other hand, a more general algebra, a so-called pseudocomplemented q-semilattice is introduced and a mutual correspondence between this algebra and a quasi-implication algebra is shown.

Quasimartingales et formes linéaires associées

Giorgio Letta (1979)

Séminaire de probabilités de Strasbourg

Quasi-minimal posets and lattices.

J.L. Hickman (1977)

Journal für die reine und angewandte Mathematik

Quasi-modal algebras

Sergio A. Celani (2001)

Mathematica Bohemica

In this paper we introduce the class of Boolean algebras with an operator between the algebra and the set of ideals of the algebra. This is a generalization of the Boolean algebras with operators. We prove that there exists a duality between these algebras and the Boolean spaces with a certain relation. We also give some applications of this duality.

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