Modules over arbitrary domains II
Modules over Group Algebras and Their Application in the Study of Semi -Simplicity.
Modules over group rings of soluble groups with a certain condition of maximality
Let A be an R G-module, where R is an integral domain and G is a soluble group. Suppose that C G(A) = 1 and A/C A(G) is not a noetherian R-module. Let L nnd(G) be the family of all subgroups H of G such that A/C A(H) is not a noetherian R-module. In this paper we study the structure of those G for which L nnd(G) satisfies the maximal condition.
Modules Over Matrix Near-Rings and the ...-Radical.
Modules over regular algebras of dimension 3.
Modules over the 4-dimensional Sklyanin algebra
Modules projectifs sur un ordre
Modules quasi-projectifs, projectifs et parfaits
Modules simples sur une algèbre de Lie nilpotente contenant un vecteur propre pour une sous-algèbre
Modules sur certains anneaux de Dedekind.
Modules sur un anneau de Krull régulier au sens de Marubayashi
Modules tertiaires
Modules -critiques et notions connexes
Modules which are epi-equivalent to projective modules
Modules which are invariant under idempotents of their envelopes
We study the class of modules which are invariant under idempotents of their envelopes. We say that a module M is -idempotent-invariant if there exists an -envelope u : M → X such that for any idempotent g ∈ End(X) there exists an endomorphism f : M → M such that uf = gu. The properties of this class of modules are discussed. We prove that M is -idempotent-invariant if and only if for every decomposition , we have . Moreover, some generalizations of -idempotent-invariant modules are considered....
Modules whose countably generated submodules are epimorphic images
Modules with semiregular endomorphism rings
We characterize the semiregularity of the endomorphism ring of a module with respect to the ideal of endomorphisms with large kernel, and show some new classes of modules with semiregular endomorphism rings.
Modules with the direct summand sum property
The present work gives some characterizations of -modules with the direct summand sum property (in short DSSP), that is of those -modules for which the sum of any two direct summands, so the submodule generated by their union, is a direct summand, too. General results and results concerning certain classes of -modules (injective or projective) with this property, over several rings, are presented.
Moduli schemes of generically simple Azumaya modules.
Moduli space of filtered -ring structures over a filtered ring.