A lattice theoretic approach is developed to study the properties of functional dependencies
in relational databases. Particular attention is paid to the analysis of the semilattice of closed …

In [2] it is shown that every idempotent distributive semiring is the Płonka sum of a
semilattice ordered system of idempotent distributive semirings which satisfy the generalized …

Abstract Information stored in databases is usually incomplete. Typical sources of partiality
are missing information, conflicts that occur when databases are merged, and asking …

A Birkhoff system is an algebra that has two binary operations⋅ and+, with each being
commutative, associative, and idempotent, and together satisfying x⋅(x+ y)= x+(x⋅ y) …

In this article we will focus our attention on the variety of distributive bisemilattices and some
linguistic expansions thereof: bounded, De Morgan, and involutive bisemilattices. After …

In this paper we present the semilattice-theoretical approach to the investigation of the
relational datamodels. It is known that the poset of closures is a model of changing …

Certain congruences on the semiring of normal tropical matrices - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

In this thesis I provide an account of the philosophical foundations and mathematical
structure of Kant's temporal continuum. I mainly focus on the development of a formalization …

Contents. 1. Introduction. 2. Semilattices, Plonka sums, and a generalisation. 3. Plonka sums
of idempotent entropic algebras. 4. Decompositions of IEO-semilattices over bisemilattices …

Abstract This paper develops De Morgan-Płonka sums, which generalise Płonka sums to
contexts in which negation is not topically transparent but still respects De Morgan duality …