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Journals and Conferences
We investigate how finitary functors on Set can be extended or lifted to finitary functors on Preord and Poset and discuss applications to coalgebra.
We extend Barr’s well-known characterization of the final coalgebra of a Set-endofunctor H as the completion of its initial algebra to the EilenbergMoore category Alg(M) of algebras associated to a Set-monad M, if H can be lifted to Alg(M). As further analysis, we introduce the notion of commuting pair of endofunctors (T,H) with respect to a monad M and… (More)
AIM The aim of this study was to evaluate the level of knowledge and the current attitudes towards infection control in the dental offices in the Northeast Romania. MATERIAL AND METHODS Questionnaire-based study conducted on 152 dentists aged between 25-65 years practicing in 6 Northeast Romania counties. The questionnaire included questions related to… (More)
Positive modal logic was introduced in an influential 1995 paper of Dunn as the positive fragment of standard modal logic. His completeness result consists of an axiomatization that derives all modal formulas that are valid on all Kripke frames and are built only from atomic propositions, conjunction, disjunction, box and diamond. In this paper, we provide… (More)
If H is a finite dimensional quasi-Hopf algebra and A is a left H-module algebra, we prove that there is a Morita context connecting the smash product A#H and the subalgebra of invariants A . We define also Galois extensions and prove the connection with this Morita context, as in the Hopf case.
The notions of Galois and cleft extensions are generalized for coquasi-Hopf algebras. It is shown that such an extension over a coquasi-Hopf algebra is cleft if and only if it is Galois and has the normal basis property. A Schneider type theorem () is proven for coquasi-Hopf algebras with bijective antipode. As an application, we generalize… (More)
The notion of crossed product with a coquasi-Hopf algebra H is introduced and studied. The result of such a crossed product is an algebra in the monoidal category of right H-comodules. We give necessary and sufficient conditions for two crossed products to be equivalent. Then, two structure theorems for coquasi Hopf modules are given. First, these are… (More)
The pathology of premature loss of temporary molars is a complex issue with profound impact on dental and facial harmony, urging clinician`s interest for an optimal therapeutic approach. Identification of the predisposing factors, in full agreement with the anatomical particularities of the temporary teeth, corroborated with the incidence of premature loss… (More)
Dental caries is one of the most common disorders of childhood. Although preventable, it is found in large sectors of the pediatric population. In recent decades, focus was laid on the methods for its prevention, by controlling bacterial plaque, food diet and various methods of local or general fluoridation. On the other hand, developing of methods for… (More)
We show that for a commutative quantale V every functor Set −→ V -cat has an enriched leftKan extension. As a consequence, coalgebras over Set are subsumed by coalgebras over V -cat. Moreover, one can build functors on V -cat by equipping Set-functors with a metric. 1998 ACM Subject Classification F.4.1 Mathematical Logic