Let H be a finite-dimensional bialgebra. In this paper, we prove that the category LR(H) of Yetter-Drinfeld-Long bimodules, introduced by F.Panaite, F.Van Oystaeyen (2008), is isomorphic to the Yetter-Drinfeld category H⊗H H⊗H YD over the tensor product bialgebra H H∗ as monoidal categories. Moreover if H is a finite-dimensional Hopf algebra with bijective antipode, the isomorphism is braided. Finally, as an application of this category isomorphism, we give two results., Daowei Lu, Shuanhong Wang., and Seznam literatury
Autor, dlouholetý pracovník hygienické služby, se vrací do druhé poloviny minulého století a popisuje náročné prosazování hygienických požadavků u projektované jaderné elektrárny Temelín (JETE) v jižních Čechách koncem 70. let minulého století. V druhé části svého sdělení píše o problémech a konfliktech při řešení ochrany zdraví obyvatel Českých Budějovic před nadměrným hlukem z vojenského letiště., The author, a long-time staff member of the public health service, returns to the second half of the past century and describes the enforcing of health protection demands for the nuclear power plant JETE being designed in southern Bohemia at the end of the 1970s. In the second part of his article he mentions problems and conflicts connected with health protection of the inhabitants of the city České Budějovice against excessive noise from an army airport., and Josef Hořejší
This paper highlighs the contribution of Philipp Lenard (Nobel Prize winner 1905) to the understanding of luminescence and reviews his main results in the field. In particular, the experimental spectroscopic technique introduced by Lenard and the properties of the so-called Lenard phosphors are discussed., Ivan Pelant, Jan Valenta., and Obsahuje seznam literatury
It is known that for a nonempty topological space X and a nonsingleton complete lattice Y endowed with the Scott topology, the partially ordered set [X, Y ] of all continuous functions from X into Y is a continuous lattice if and only if both Y and the open set lattice OX are continuous lattices. This result extends to certain classes of Z-distributive lattices, where Z is a subset system replacing the system D of all directed subsets (for which the D-distributive complete lattices are just the continuous ones). In particular, it is shown that if [X, Y ] is a complete lattice then it is supercontinuous (i.e. completely distributive) iff both Y and OX are supercontinuous. Moreover, the Scott topology on Y is the only one making that equivalence true for all spaces X with completely distributive topology. On the way to these results, we find necessary and sufficient conditions for [X, Y ] to be complete, and some new, purely topological characterizations of continuous lattices by continuity conditions on their (infinitary) lattice operations.