The Academy Assembly, the highest body of the ASCR responsible for the topmost priority decisions related to the ASCR, held its XXXVIII Meeting on April 21, 2011. Among invited guests were Alena Gajdůšková, 1st Vice-President of the Senate of the Parliament of the Czech Republic, Stanislava Hronová and Vladimír Haasz, Vice-Chairpersons of the R&D Council and others. The main agenda item of this meeting was discussion the report of the Steering Committee of the Evaluation of Academy Institutes. Through the Committee's evaluation, the Academy Council is provided a full report of the research effectiveness of Academy Institutes. and Luděk Svoboda.
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