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Communications in Algebra Volume 23, 1995 - Issue 14
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Original Articles

The ore condition for polynomial and power series rings

Ferran Cedó Departament de Matemátiques, Universitat Autónoma de Barcelona, Bellaterra, 08193, Spain
&
Dolors Herbera Departament de Matemátiques, Universitat Autónoma de Barcelona, Bellaterra, 08193, Spain
Pages 5131-5159 | Received 01 Jan 1994, Published online: 27 Jun 2007

References

  • Amitsur , S.A. 1956 . Radicals of Polynomial rings . Can. J. Math , 8 : 355 – 361 .
  • Armendariz , E.P. , Fisher , J.W. and Snider , R.L. 1978 . On injective and surjec-tive endomorphisms of finitely generated modules . Comm. in Alg. , 6 : 659 – 672 .
  • Rosa , Camps and Warren , Dicks . 1993 . On semilocal rings . Israel J. of Math , 6 : 203 – 211 .
  • Warren , Dicks and Schofield , A. H. 1988 . On semihereditary rings . Comm. in Alg. , 16 : 1243 – 1274 .
  • Goodearl , K.R. 1991 . Von Neumann Regular Rings , Malabar : Krieger Pub¬lishing Company .
  • Goodearl , K. R. 1987 . Surjective endomorphism of finitely generated modules . Comm. in Alg. , 15 : 589 – 609 .
  • Goodearl , K.R. and Menal , P. 1988 . Stable Range ome for rings with many units . Journal of Pure and App. Alg. , 54 : 261 – 287 .
  • Goodearl , K.R. and Moncasi , J. 1989 . Cancellation of finitely generated modules over regular rings . Osaka J. Math , 26 : 679 – 685 .
  • Herbera , D. and Pillay , P. 1993 . Injective classical quotient rings of polynomial rings are quasi-Frobenius . Journal of Pure and App. Alg. , 86 : 51 – 63 .
  • Jeanne , Wald Kerr . 1982 . The power series ring over an Ore domain need not be Ore . J of Alg. , 75 : 175 – 177 .
  • Menal , P. 1988 . Morita equivalence and quotient rings . Results in Math , 13 : 137 – 139 .
  • Passman , D.S. 1977 . The Algebraic Structure of Group Rings , London : Wiley-Interscience .
  • Poobhalan , Pillay . 1984 . Polynomial rings over Non-commutative rings . Pub. Mat. UAB , : 29 – 49 .
  • Richard , Resco , Lance W , Small and Stafford , J. T. 1982 . Krull and global di¬mensions of semiprime Noetherian Pi-rings . Trans. A.M.S. , 274 : 285 – 295 .
  • Rowen , L. H. 1988 . Ring Theory, volume / . Pure and Applied Mathematics , 127
  • Small , L.W. 1968 . Orders in Artinian Rings, II . J. of Alg. , 9 : 266 – 273 .
  • Vaserstein , L.N. 1971 . Stable rank of rings and dimensionality of topological spaces . Functional Anal. , 5 : 102 – 110 .

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