منابع مشابه
S-pure Submodules
Purity in module categories and its different generalizations have been present in the literature since the 1960s. Apart from its special role in module theory, the importance of purity increased during the last two decades through the developments of model theory and the study of locally finitely presented categories (e.g., [2, 6]). In the module theory context, that will be our framework, a p...
متن کاملPure Submodules of Multiplication Modules
The purpose of this paper is to investigate pure submodules of multiplication modules. We introduce the concept of idempotent submodule generalizing idempotent ideal. We show that a submodule of a multiplication module with pure annihilator is pure if and only if it is multiplication and idempotent. Various properties and characterizations of pure submodules of multiplication modules are consid...
متن کاملON QUASI h-PURE SUBMODULES OF QTAG-MODULES
Different concepts and decomposition theorems have been done for QTAGmodules by number of authors. We introduce quasi h-pure submodules for QTAG-modules andwe obtain several characterizations for quasih-pure submodules and as a consequence we deduce a result done by Fuchs 1973.
متن کاملFinite unions of submodules ON FINITE UNIONS OF SUBMODULES
This paper is concerned with finite unions of ideals and modules. The first main result is that if N ⊆ N1 ∪N2 ∪ · · · ∪Ns is a covering of a module N by submodules Ni, such that all but two of the Ni are intersections of strongly irreducible modules, then N ⊆ Nk for some k. The special case when N is a multiplication module is considered. The second main result generalizes earlier results on co...
متن کاملOn Unitarily Equivalent Submodules
The Hardy space on the unit ball in C provides examples of a quasi-free, finite rank Hilbert module which contains a pure submodule isometrically isomorphic to the module itself. For n = 1 the submodule has finite codimension. In this note we show that this phenomenon can only occur for modules over domains in C and for finitely-connected domains only for Hardy-like spaces, the bundle shifts. M...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Baghdad Science Journal
سال: 2013
ISSN: 2411-7986,2078-8665
DOI: 10.21123/bsj.10.4.1269-1272