대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제12권4호
  • /
  • Pages.865-868
  • /
  • 1997
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

DIRECT PROJECTIVE MODULES WITH THE SUMMAND SUM PROPERTY

  • 발행 : 1997.10.01
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초록

Let R be a ring with a unity and let M be a unitary left R-module. In this paper, we establish [5, Proposition 2.8] by showing the proof of it. Moreover, from the above result, we obtain some properties of direct projective modules which have the summand sum property.

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참고문헌

  1. Comm. Algebra v.17 Properties of direct summand of modules J. L. Garcia
  2. Bull. Inst. Math. Acad. Sinica v.9 Direct projective modules J. Hausen
  3. Comm. Algebra v.17 Modules with the summand intersection property J. Hausen
  4. Canad. J. Math. v.28 Semiregular modules and rings W. K. Nicholson
  5. Bull. Inst. Math. Acad. Sinica v.7 Direct projective modules A. K. Tiwary;P. C. Bharadwaj
  6. Comm. Algebra v.14 Modules with the summand intersection property G. V. Wilson
  7. J. Pure Appl. Algebra v.87 Characterization of rings using direct-projective modules and directinjective modules W. Xue