Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON DIFFERENT NOTIONS OF TRANSITIVITY FOR QTAG-MODULES

  • Sikander, Fahad (College of Science and Theoretical Studies Saudi Electronic University) ;
  • Hasan, Ayazul (Department of Mathematics, Faculty of Science, Jazan University) ;
  • Mehdi, Alveera (Department of Mathematics Aligarh Muslim University)
  • Received : 2015.05.25
  • Accepted : 2016.04.11
  • Published : 2016.06.25
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Abstract

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. Recently, the authors introduced the classes of QTAG-modules namely as socle-regular and strongly socle-regular QTAG-modules which properly contain the classes of transitive and fully transitive QTAG-modules respectively. Here we define strongly and quasi transitivities and study the inter relations between various type of transitivities.

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References

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