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Original Articles

Formal Power Series Over Strongly Hopfian Rings

Pages 279-291 | Received 14 Apr 2009, Published online: 20 Jan 2011

REFERENCES

  • Anderson , D. F. , Badawi , A. ( 2008 ). On the zero divisor graph of a ring . Comm. Alg. 36 : 3073 – 3092 .
  • Fields , E. ( 1971 ). Zero divisors and nilpotent elements in power series rings . Proc. Amer. Math. Soc. 27 : 427 – 433 .
  • Frohn , D. ( 2002 ). Modules with n-acc and the acc on certain types of annihilators . J. Alg. 256 : 467 – 483 .
  • Gilmer , R. ( 2001 ). A New Criterion for Embeddability in a Zero Dimensional Commutative Ring . Lecture Notes in Pure and Applied Mathematics , Vol. 220 . Marcel Dekker , pp. 223 – 229 .
  • Gilmer , R. , Heinzer , W. ( 1980 ). The Laskerian property, power series rings, and Noetherian spectra . Proc. Amer. Math. Soc. 79 : 13 – 16 .
  • Hizem , S. , Benhissi , A. Nonnil-Noetherian rings and the SFT property. To appear .
  • Hmaimou , A. , Kaidi , A. , Sanchez Campus , E. (2007). Generalized fitting modules and rings. J. Alg. 308:199–214.
  • Kerr , J. W. ( 1983 ). Very long chains of annihilator ideals . Israel Journal of Mathematics 46 : 197 – 204 .
  • Kim , N. K. , Lee , K. H. , Lee , Y. ( 2006 ). Power series rings satisfying a zero divisor property . Comm. Alg. 34 : 2205 – 2218 .
  • Lu , C. P. ( 1988 ). Modules satisfying acc on certain type of colons . Pacific Journal of Mathematics 131 : 303 – 318 .
  • Lu , C. P. ( 1993 ). Modules and rings satisfying accr . Proc. AMS. 117 : 5 – 10 .
  • Communicated by I. Swanson.

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