Finite Hereditary Near-Field Groups.
Finite Normalizing Extensions of Rings.
Finite presentation and purity in categories σ[M]
For any module M over an associative ring R, let σ[M] denote the smallest Grothendieck subcategory of Mod-R containing M. If σ[M] is locally finitely presented the notions of purity and pure injectivity are defined in σ[M]. In this paper the relationship between these notions and the corresponding notions defined in Mod-R is investigated, and the connection between the resulting Ziegler spectra is discussed. An example is given of an M such that σ[M] does not contain any non-zero finitely presented...
Finitely Generated Projective modules over exchange rings.
Finitely Presented Modules over Right Non-Singular Rings
Finiteness of the strong global dimension of radical square zero algebras
The strong global dimension of a finite dimensional algebra A is the maximum of the width of indecomposable bounded differential complexes of finite dimensional projective A-modules. We prove that the strong global dimension of a finite dimensional radical square zero algebra A over an algebraically closed field is finite if and only if A is piecewise hereditary. Moreover, we discuss results concerning the finiteness of the strong global dimension of algebras and the related problem on the density...
Finitistic dimension of artian rings with vanishing radical cube.
First order calculi with values in right-universal bimodules
The purpose of this note is to show how calculi on unital associative algebra with universal right bimodule generalize previously studied constructions by Pusz and Woronowicz [1989] and by Wess and Zumino [1990] and that in this language results are in a natural context, are easier to describe and handle. As a by-product we obtain intrinsic, coordinate-free and basis-independent generalization of the first order noncommutative differential calculi with partial derivatives.
Flat and projective modules.
Flat covers of representations of the quiver .
Flat Modules and Torsion Theories.
Flat Modules, Injective Modules and Quotient Rings.
Flat semimodules.
Forme algébrique des théories de Stone-Gel'fand
FP-injective and weakly quasi-Frobenius rings.
Fully rigid systems of modules
Functors on locally finitely presented additive categories
Funktoren in der Kategorie der lokal kompakten Moduln.
Fuzzy prime ideals in -rings.
Galois coverings and splitting properties of the ideal generated by halflines
Given a locally bounded k-category R and a group acting freely on R we study the properties of the ideal generated by a class of indecomposable locally finite-dimensional modules called halflines (Theorem 3.3). They are applied to prove that under certain circumstances the Galois covering reduction to stabilizers, for the Galois covering F: R → R/G, is strictly full (Theorems 1.5 and 4.2).