Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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COMULTIPLICATION MODULES AND RELATED RESULTS

  • Ansari-Toroghy, H. (Department of Mathematics, Faculty of Science, Guilan University) ;
  • Farshadifar, F. (Department of Mathematics, Faculty of Science, Guilan University)
  • Received : 2007.10.25
  • Accepted : 2008.01.10
  • Published : 2008.03.25
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Abstract

Let R be a commutative ring (with identity). In this paper we will obtain some results concerning comultiplication R-modules. Further we state and prove a dual notion of Nakayama's lemma for finitely cogenerated modules.

Keywords

References

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  3. H. Ansari-Toroghy and F. Farshadifar, The dual notion of multiplication modules, Taiwanese Journal of Mathematics, (4) 11 (2007), 1189-1201. https://doi.org/10.11650/twjm/1500404812
  4. H. Ansari-Toroghy and F. Farshadifar, On comultiplication modules, submitted.
  5. C.M. Low and P.F .Smith, Multiplication modules and ideals, Comm. Algebra, (18) 12 (1990), 4353-4375.
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