Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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GENERALIZATIONS OF T-EXTENDING MODULES RELATIVE TO FULLY INVARIANT SUBMODULES

  • Asgari, Shadi (Department of Mathematical Sciences Isfahan University of Technology, School of Mathematics Institute for research in Fundamental Sciences (IPM)) ;
  • Haghany, Ahmad (Department of Mathematical Sciences Isfahan University of Technology)
  • Received : 2010.06.06
  • Published : 2012.05.01
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Abstract

The concepts of t-extending and t-Baer for modules are generalized to those of FI-t-extending and FI-t-Baer respectively. These are also generalizations of FI-extending and nonsingular quasi-Baer properties respectively and they are inherited by direct summands. We shall establish a close connection between the properties of FI-t-extending and FI-t-Baer, and give a characterization of FI-t-extending modules relative to an annihilator condition.

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References

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