Title of article :
On the Pollard decomposition method applied to some Jacobi{Sobolev expansions
Author/Authors :
MARCELLAN, Francisco Carlos III University of Madrid - Department of Mathematics, Spain , QUINTANA, Yamilet Simon Bolivar University - Department of Pure and Applied Mathematics, Venezuela , URIELES, Alejandro Simon Bolivar University - Department of Pure and Applied Mathematics, Venezuela
Abstract :
Modules in which every essential submodule contains an essential fully invariant submodule are called endo-bounded. Let M be a nonzero module over an arbitrary ring R and X = Spec_2(M_R), the set of all fully invariant L_2-prime submodules of M_R. If M_R is a quasi-projective L_2-Noetherian such that (M/P)_R is endo-bounded for any P in X, then it is shown that the Krull dimension of M_R is at most the classical Krull dimension of the poset X. The equality of these dimensions and some applications are obtained for certain modules. This gives a generalization of a well-known result on right fully bounded Noetherian rings.
Keywords :
Classical Krull dimension , endo , bounded module , FBN ring , Krull dimension , L_2 , Noetherian module , L_2 , prime module
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
