For a long period the theory of modules over rings on the one hand and comodules and Hopf modules for coalgebras and bialgebras on the other side developed quite independently. In this talk we want to outline how ideas from module theory can be applied to enrich the theory of comodules and vice versa. For this we consider A-corings C with grouplike elements over a ring A, in particular Galois c...

We extend the Larson–Sweedler theorem for weak Hopf algebras by proving that a finite dimensional weak bialgebra is a weak Hopf algebra iff it possesses a non-degenerate left integral. We establish the autonomous monoidal category of the modules of a weak Hopf algebra A and show the semisimplicity of the unit and the invertible modules of A. We also reveal the connection of these modules to lef...

conclusions this study showed that cccdna can be detected in the plasma specimen of 17.9% of iranian treatment-naive patients with chronic hepatitis b infection. therefore, designing prospective studies focusing on the detection of cccdna in these patients would provide more information. results the mean (sd) age of the patients was 41.1 ± 12.4 years (range, 20 - 62 years). from a total of 106 ...

Introduction: The hepatitis B is a viral infection that causes a big problem globally. About 2 billion people worldwide are infected and there are now about 400 million HBV-DNA carriers around the world. HBV infection is the ninth cause of death worldwide and infects about 350 million new cases each year in the world. HBV-DNA can be spotted in different body secretions and fluids, including se...

introduction: the hepatitis b is a viral infection that causes a big problem globally. about 2 billion people worldwide are infected and there are now about 400 million hbv-dna carriers around the world. hbv infection is the ninth cause of death worldwide and infects about 350 million new cases each year in the world. hbv-dna can be spotted in different body secretions and fluids, including ser...

This paper is an introduction to the series of papers [26, 28, 29, 30], in which we develop a combinatorial theory of certain important operads and their actions. The operads we consider are A∞ operads, E∞ operads, the little n-cubes operad and the framed little disks operad. Sections 2, 6 and 9, which can be read independently, are an introduction to the theory of operads. The reader is also r...

We prove a recognition principle for motivic infinite P1-loop spaces over perfect field. This is achieved by developing theory of framed spaces, which analogue the E-infinity-spaces. A space equipped with transfers along finite syntomic morphisms trivialized cotangent complex in K-theory. Our main result that grouplike are equivalent to full subcategory spectra generated under colimits suspensi...

background and objective: rapid diagnosis of pertussis is important for the timely isolation of the infection source and early prevention measures among the contact persons, especially among non-vaccinated infants for whom pertussis is life- threatening. materials and methods: targets is481 , is1001, bp0026 and human gapdh gene were used to develop a multiplex real- time pcr assay based on the ...