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Some Results of QF Rings

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Let R be a ring. We give some new characterizations of QF under the special annihilators condition. Some known results are obtained as corollaries.

Abstract

Let R be a ring. We give some new characterizations of QF under the special annihilators condition. Some known results are obtained as corollaries.

참고문헌 (11)

  1. W. K. Nicholson, "Mininjective rings", J. Algebra, 187, pp.548~578 (1997)
  2. W. K. Nicholson, "Extensions of simple-injective rings", Comm. Algebra, 28(10), pp.4665~4675 (2000)
  3. T. Nakayama, "On Frobenius Rings. II", Ann. math, 42(1), pp.1~21 (1941)
  4. C. Faith, "When self-injective rings are QF: A report on a problem", Journal of Algebra and Its Application, 1(1), pp.75~105 (2002)
  5. W. K. Nicholson, "On Quasi-Frobenius Rings, in International Symposium on Ring Theory" (1999), Birkh¨auser
  6. W.K. Nicholson, "Quasi-Frobenius Rings" (2003), Cambridge University Press
  7. F.W. Anderson, "Rings and Modules Categories" (1974), Springer- Verlag
  8. K. R. Goodearl, "Von Neumann regular rings" (1979), Pitman
  9. Chen J, "On general principally injective rings", Comm in Algebra, 27, pp.2097~2116 (1999)
  10. E. A. Rutter, "Rings with the principal extension property", Comm. Algebra, 3(3), pp.203~212 (1975)
  11. Chen. J, "On artiness of right CF rings", Comm. Algebra, 32(11), pp.4485~4494 (2004)

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