On Ads-modules with the SIP

author

  • F. ‎Takil Mutlu Department of‎ ‎Mathematics‎, ‎Anadolu University‎, ‎26470‎, ‎Eskisehir‎, ‎Turkey
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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Journal title

volume 41  issue 6

pages  1355- 1363

publication date 2015-12-01

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