On Ads-modules with the SIP
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Abstract:
The class of ads modules with the SIP (briefly, $SA$-modules) is studied. Various conditions for a module to be $SA$-module are given. It is proved that for a quasi-continuous module $M$, $M$ is a UC-module if and only if $M$ is an $SA$-module. Also, it is proved that the direct sum of two $SA$-modules as $R$-modules is an $SA$-module when $R$ is the sum of the annihilators of these modules.
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the class of ads modules with the sip (briefly, $sa$-modules) is studied. various conditions for a module to be $sa$-module are given. it is proved that for a quasi-continuous module $m$, $m$ is a uc-module if and only if $m$ is an $sa$-module. also, it is proved that the direct sum of two $sa$-modules as $r$-modules is an $sa$-module when $r$ is the sum of the annihilators of these...
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Journal title
volume 41 issue 6
pages 1355- 1363
publication date 2015-12-01
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