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A Generalization of ⊕-Supplemented Modules

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2012

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
Let M and X be R-modules. We define the X-⊕-supplemented modules via the classB(M, X) as a generalization of ⊕-supplemented modules. We show that any finite direct sum of X-⊕-supplemented modules is X-⊕-supplemented. It is given a number of necessary and sufficient conditions for every direct summand of an X-⊕-supplemented module to be X-⊕-supplemented.
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  • 2
108-115
  • English

REFERENCES

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