منابع مشابه
A Note on Elongations of Summable QTAG-Modules
A right module M over an associative ring with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules. In this paper we find a suitable condition under which a special ω-elongation of a summable QTAG-module by a ( ω +k)-projective QTAG-module is also a summable QTAG-module.
متن کاملOn Some QTAG-Modules
In this paper we study totally projective QTAG-modules and the extensions of bounded QTAG-modules. In the first section we study totally projective modules M/N and M ′/N ′ where N , N ′ are isomorphic nice submodules of M and M ′ respectively. In fact the height preserving isomorphism between nice submodules is extented to the isomorphism from M onto M ′ with the help of Ulm-Kaplansky invariant...
متن کاملOn Almost n-Layered QTAG-modules
We define the notion of almost $n$-layered $QTAG$-modules and study their basic properties. One of the main result is that almost 1-layered modules are almost $(omega+1)$-projective exactly when they are almost direct sum of countably generated modules of length less than or equal to $(omega+1)$. Some other characterizations of this new class are also established.
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.
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ژورنال
عنوان ژورنال: Mathematical Sciences
سال: 2013
ISSN: 2251-7456
DOI: 10.1186/2251-7456-7-48