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Original Articles

Simple Modules and Primitive Ideals of Non-Noetherian Generalized Down-Up Algebras

Pages 811-839 | Received 16 Aug 2007, Published online: 04 Mar 2009

REFERENCES

  • Benkart , G. , Roby , T. ( 1999 ). Down-up algebras . J. Algebra 209 : 305–344; Addendum, (1999), 213 : 378 .
  • Cassidy , T. , Shelton , B. ( 2004 ). Basic properties of generalized down-up algebras . J. Algebra 279 : 402 – 421 .
  • McConnell , J. , Robson , J. ( 1987 ). Noncommutative Noetherian Rings . New York : John Wiley and Sons .
  • Praton , I. ( 2004 ). Primitive ideals of noetherian down-up algebras . Comm. Algebra 32 : 443 – 471 .
  • Praton , I. ( 2007 ). Simple weight modules of non-noetherian generalized down-up algebras . Comm. Algebra 35 : 325 – 337 .
  • Praton , I. , May , S. ( 2005 ). Primitive ideals of non-noetherian down-up algebras . Comm. Algebra 33 : 605 – 622 .
  • Communicated by S. Kleiman.

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