The existence of cellular immune deficit in alcoholic cirrhosis, together with the role of alpha- and gamma-interferon and interleukin-2 in the immune system, led us to compare serum levels of these immune system mediators in a group of 40 patients with alcoholic cirrhosis classified according to Child-Pugh's grade of severity of liver disease and 23 healthy volunteers. Serum levels of alpha-IFN, gamma-IFN, and IL-2 were significantly depressed in alcoholic cirrhotics, with no significant differences between the different degrees of hepatic damage. The results suggest a profound alteration in the immune system of alcoholic cirrhotics, which may contribute to the development of the disease and the accompanying immune system deficit.
The categorical treatment of fuzzy modules presents some problems, due to the well known fact that the category of fuzzy modules is not abelian, and even not normal. Our aim is to give a representation of the category of fuzzy modules inside a generalized category of modules, in fact, a functor category, Mod−P, which is a Grothendieck category. To do that, first we consider the preadditive category P, defined by the interval P=(0,1], to build a torsionfree class J in Mod−P, and a hereditary torsion theory in Mod−P, to finally identify equivalence classes of fuzzy submodules of a module M with F-pair, which are pair (G,F), of decreasing gradual submodules of M, where G belongs to J, satisfying G=Fd, and ∪αF(α) is a disjoint union of F(1) and F(α)\G(α), where α is running in (0,1].
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