On projection-invariant submodules of QTAG-modules
نویسندگان
چکیده
منابع مشابه
ON 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 کاملSmall Homomorphisms and Large Submodules of QTAG-Modules
A module M over an associative ring R with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules.Over the past several years QTAG-modules have been the subject of intense investigation yet there is much to explore.The impetus for these efforts stems from the fact that the rings considered here are almost restriction free....
متن کاملUpper Basic and Congruent Submodules of QTAG-Modules
The cardinality of the minimal generating set of a module M i.e g(M) plays a very important role in the study of QTAG-Modules. Fuchs [1] mentioned the importance of upper and lower basic subgroups of primary groups. A need was felt to generalize these concepts for modules. An upper basic submodule B of a QTAG-Module M reveals much more information about the structure of M . We find that each ba...
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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...
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In the theory of quasicrystals, one typically deals with coordinates (indices) that lie in some Z-module of rank higher than the dimension of the ambient space, R. Often, these Z-modules are R-modules for some ring R and thereby admit sets of self-similarities (by scaling with elements of R), with a much richer structure than that available for lattices in R. It is natural to study these and ot...
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ژورنال
عنوان ژورنال: Journal of the Egyptian Mathematical Society
سال: 2016
ISSN: 1110-256X
DOI: 10.1016/j.joems.2015.01.005