let r be an associative ring with identity, c(r) be the category of com-plexes of r-modules and flat(c(r)) be the class of all at complexes of r-modules. we show that the at cotorsion theory (flat(c(r)); flat(c(r))−)have enough injectives in c(r). as an application, we prove that for each atcomplex f and each complex y of r-modules, exti (f,x)= 0, whenever ris n-perfect and i > n.

In this article, I will draw a parallel between the phenomenology of aesthetic experience and concept affective intentionality. One my aims is to show that ?component? approach not appropriate both for emotional experience. lay emphasis on issues shaping content its non-conceptuality. respond first problem by introducing elements intentionality account, particularly referring Goldie?s argument ...

We use the geometry of characteristic cycles of Harish-Chandra modules for a real semisimple Lie group GR to prove an upper triangularity relationship between two bases of each special representations of a classical Weyl group. One basis consists of Goldie rank polynomials attached to primitive ideals in the enveloping algebra of the complexified Lie algebra g; the other consists of polynomials...

The study of modules over a finite von Neumann algebra A can be advanced by the use of torsion theories. In this work, some torsion theories for A are presented, compared and studied. In particular, we prove that the torsion theory (T,P) (in which a module is torsion if it is zero-dimensional) is equal to both Lambek and Goldie torsion theories for A. Using torsion theories, we describe the inj...