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Communications in Algebra Volume 27, 1999 - Issue 11
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Original Articles

On m-fold stable exchange rings

Huanyin Chen Department of Mathematics, Hunan Normal University, Changsha, PR, 410006, China E-mail: [email protected]. edu.cn
Pages 5639-5647 | Received 01 Mar 1998, Published online: 27 Jun 2007

References

  • Ara , P. , Goodearl , K.R. , OMeara , K.C. and Pardo , E. 1998 . Separative Cancellation for Projective Modules over Exchange Rings . Israel J, Math , 105 : 105 – 137 .
  • Burgess , W.D. and Menal , P. 1988 . On Strongly π Regular Rings and Homomor-phisms into Them . Comm. Algebra , 16 : 1701 – 1725 .
  • Camillo , P. and Yu , H.P. 1994 . Exchange Rings, Units and Idempotents . Comm. Algebra , 22 : 4737 – 4749 .
  • Camillo , P. and Yu , H.P. 1995 . Stable Range One for Rings with Many Idempotents . Trans. Amer, Math. Soc , 347 : 3141 – 3147 .
  • Chen , H. 1998 . Exchange Rings, Related Comparability and Power-substitution . Comm. Algebra , 26 : 3383 – 3401 .
  • Chen , H. 1998 . Rings with Stable Range Conditions . Comm. Algebra , 26 : 3653 – 3668 .
  • Goodearl , K.R. 1979 . Von Neumann Regular Rings , London : Pitman . San Francisco, Melbourne
  • Goodearl , K.R. and Menal , P. 1988 . Stable Range One for Rings with Many Units . J. Pure Appi Algebra , 54 : 261 – 287 .
  • McDonald , B.R. 1990 . GL 2of Rings with Many Units . Comm. Algebra , 8 : 869 – 888 .
  • McDonald , B.R. and Hershberger , B. 1978 . The Orthogonal Group over a Full Ring . J. Algebra , 51 : 536 – 549 .
  • Menal , P. 1981 . On π-Regular Rings WThose Primitive Factors Rings are Artinian . J. Pure Appi Algebra , 20 : 71 – 81 .
  • Nicholson , W.K. 1977 . Lifting Idempotents and Exchange Rings . Trans. Amer. Math. Soc , 229 : 269 – 278 .
  • Pardo , E. 1996 . Comparability, Separativity, and Exchange Rings . Comm. Algebra , 24 : 2915 – 2929 .
  • Stock , J. 1986 . On Rings Whose Projective Modules Have Echange Property . J. Algebra , 103 : 437 – 453 .
  • Vasertein , L.N. 1984 . Bass’s First Stable Range Condition . J, Pure Appl. Algebra , 34 : 319 – 330 .
  • Van Der Kallen , W. 1977 . The K 2of Rings with Many Units . Ann, Scient,Ec, Norm. Sup , 10 : 473 – 515 .
  • Van Der Kallen , W. , Maazen , H. and Stienstra , J. 1975 . A Presentation for Some K 2(n,R) . Bull. Amer. Math. Soc , 81 : 934 – 936 .
  • Wu , T. 1995 . Unit 1-Stable Condition . Chinese Annals of Mathematics , 16A : 760 – 768 .
  • You , H. 1992 . On the Defining Relations of GL 2over 1-Fold Rings . J. Math. Research and Exposition , 12 : 385 – 390 .
  • Yu , H.P. 1997 . On the Structure of Exchange Rings . Comm. Algebra , 25 : 661 – 670 .
  • Yu , H.P. 1995 . Stable Range One for Exchange Rings . J. Pure Appi Algebra , 98 : 105 – 109 .

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