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WHEN AN S-CLOSED SUBMODULE IS A DIRECT SUMMAND

Dejun Wu|Yongduo Wang
대한수학회 (The Korean Mathematical Society)|2014.05|대한수학회보 (Bulletin of the KMS)|제51권 제3호|pp. 613-619

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참고문헌

키워드

CLS-moduleejective moduleojective module
주제분류수학

초록

It is well known that a direct sum of CLS-modules is not, in general, a CLS-module. It is proved that if M = M1 ⓧ M2, where M1 and M2 are CLS-modules such that M1 and M2 are relatively ojective (or M1 is M2-ejective), then M is a CLS-module and some known results are generalized.

Abstract

It is well known that a direct sum of CLS-modules is not, in general, a CLS-module. It is proved that if M = M1 ⓧ M2, where M1 and M2 are CLS-modules such that M1 and M2 are relatively ojective (or M1 is M2-ejective), then M is a CLS-module and some known results are generalized.

참고문헌 (8)

  1. E. Akalan, "Goldie extending modules", Comm. Algebra, 37(2), pp.663~683 (2009)
  2. G. F. Birkenmeier, "When some complement of a submodule is a summand", Comm. Algebra, 35(2), pp.597~611 (2007)
  3. K. R. Goodearl, "Ring Theory" (1976), Marcel-Dekker
  4. A. Harmanci, "Finite direct sums of CS-modules", Houston J. Math, 19(4), pp.523~532 (1993)
  5. M. A. Kamal, "Extending modules over commutative domains", Osaka J. Math, 25(3), pp.531~538 (1988)
  6. S. H. Mohamed, "Ojective modules", Comm. Algebra, 30(4), pp.1817~1827 (2002)
  7. P. F. Smith, "Continuous and quasi-continuous modules", Houston J. Math, 18(3), pp.339~348 (1992)
  8. A. Tercan, "On CLS-modules", Rocky Mountain J. Math, 25(4), pp.1557~1564 (1995)

관련 논문AI추천

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