Homological dimension of extensions of abelian categories and rings.- Classical algebraic K-theory of monid algebras.- K-theory of special normed rings.- Cohomology and extensions of internal modules.- Coefficients for cohomology of "large" categories.- K-theory of ?2-graded Banach categories. I.- On Quillen's + construction of perfect groups.- Cohomology of small categories in homotopical algebra.- U-theory of exact categories.