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Original Articles

Primes of Gauss Extensions Over Crossed Product Algebras

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Pages 1951-1973 | Received 07 Oct 2009, Published online: 15 Jun 2012

REFERENCES

  • Brungs , H. H. , Dubrovin , N. I. ( 2003 ). A classification and examples of rank one chain domains . Trans. Amer. Math. Soc. 355 : 2733 – 2753 .
  • Brungs , H. H. , Marubayashi , H. , Osmanagic , E. ( 2000 ). A classification of prime segments in simple Artinian rings . Proc. Amer. Math. Soc. 128 : 3167 – 3175 .
  • Brungs , H. H. , Marubayashi , H. , Osmanagic , E. ( 2007 ). Gauss extensions and total graded subrings for crossed product algebras . J. Algebra 316 : 189 – 205 .
  • Brungs , H. H. , Marubayashi , H. , Ueda , A. ( 2003 ). A classification of primary ideals of Dubrovin valuation rings . Houston J. Math. 29 : 595 – 608 .
  • Brungs , H. H. , Schröder , M. ( 2001 ). Valuation rings in Ore extensions . J. Algebra 235 : 665 – 680 .
  • Brungs , H. H. , Schröder , M. Valuation rings over right ordered groups. To appear.
  • Brungs , H. H. , Törner , G. ( 1984 ). Extensions of chain rings . Math. Z. 185 : 93 – 104 .
  • Marubayashi , H. , Miyamoto , H. , Ueda , A. ( 1997 ). Non-Commutative Valuation Rings and Semihereditary Orders . K-Monographs in Math . Vol. 3 . Dordrecht , The Netherlands : Kluwer Academic Publishers .
  • Nastasescu , C. , Van Oystaeyen , F. (1982). Graded Ring Theory . North-Holland Mathematical Library. Vol. 28 . Amsterdam : North-Holland Publishing Company.
  • Passman , D. S. ( 1989 ). Infinite Crossed Products . Pure and Applied Math . Vol. 135 . Salt Lake City , USA : Academic Press .
  • Reiner , I. ( 1975 ). Maximal Orders . London Math. Soc. Monographs Vol. 5. Salt Lake City , USA : Academic Press .
  • Xie , G. , Kobayashi , S. , Marubayashi , H. , Popescu , N. , Vraciu , C. ( 2005 ). Non-commutative valuation rings of the quotient Artinian ring of a skew polynomial ring . Algebras and Representation Theory 8 : 57 – 68 .
  • Communicated by E. Puczylouski.

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