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Communications in Algebra Volume 32, 2004 - Issue 9
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Original Articles

The Ascending Chain Condition for Principal Ideals of Rings of Generalized Power Series

Liu Zhongkui Department of Mathematics, Northwest Normal University, Lanzhou, China; Department of Mathematics, Northwest Normal University, Lanzhou, 730070, ChinaCorrespondence[email protected]
Pages 3305-3314 | Received 01 Jul 2002, Published online: 01 Feb 2007

References

  • Anderson , D. D. , Anderson , D. F. and Zafrullah , M. 1990 . Factorization in integral domains . J. Pure Appl. Algebra , 69 : 1 – 19 .
  • Dumitrescu , T. , Al-Salihi , S. O. I. , Radu , N. and Shah , T. 2000 . Some factorization properties of composite domains A + XB[X] and A + XB[[X]] . Comm. Algebra , 28 ( 3 ) : 1125 – 1139 .
  • Frohn , D. 2002a . Modules with n-acc and the acc on certain types of annihilators . J. Algebra , 256 : 467 – 483 .
  • Frohn , D. 2002b . A counterexample concerning ACCP in power series rings . Comm. Algebra , 30 ( 6 ) : 2961 – 2966 .
  • Liu , Z. 2001 . Injectivity of modules of generalized inverse polynomials . Comm. Algebra , 29 ( 2 ) : 583 – 592 .
  • Liu , Z. and Cheng , H. 2000 . Quasi-duality for the rings of generalized power series . Comm. Algebra , 28 ( 3 ) : 1175 – 1188 .
  • Ribenboim , P. 1992 . Noetherian rings of generalized power series . J. Pure Appl. Algebra , 79 : 293 – 312 .
  • Ribenboim , P. 1994 . Rings of generalized power series II: Units and zero-divisors . J. Algebra , 168 : 71 – 89 .
  • Ribenboim , P. 1995 . Special properties of generalized power series . J. Algebra , 173 : 566 – 586 .
  • Ribenboim , P. 1997 . Semisimple rings and von Neumann regular rings of generalized power series . J. Algebra , 198 : 327 – 338 .
  • Varadarajan , K. 2001a . Noetherian generalized power series rings and modules . Comm. Algebra , 29 ( 1 ) : 245 – 251 .
  • Varadarajan , K. 2001b . Generalized power series modules . Comm. Algebra , 29 ( 3 ) : 1281 – 1294 .
  • #Communicated by B. Huisgen-Zimmermann.

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