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Fully dual stable modules

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 اسعد محمد علي حسين الحسيني
30/12/2012 07:31:25
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An R -module M is fully stable if ??? ) ( ? for each submodule ? and R -homomorphism
? of ? into M . In this paper we study the dual concept of full stability. Duo property of modules being a necessary condition for both full stability and full dual stability, and quasi -projectivity is
sufficient condition for duo to be fully dual stable modules. Several properties and characterizations of full dual stability are investigated.

  • وصف الــ Tags لهذا الموضوع
  • dual-stable submodules, fully dual-stable modules, duo modules, quasi projective modules, Hopfian and Co-Hopfian modules .