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Communications in Algebra Volume 27, 1999 - Issue 6
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Original Articles

On regular rings with s-comparability

Mamoru Kutami Department of Mathematics, Faculty of Science Yamaguchi University, Yamaguchi, Yoshida, 753-5812, Japan
Pages 2917-2933 | Received 01 Jan 1998, Published online: 27 Jun 2007

References

  • Ara , P. and Goodearl , K.R. 1992 . The almost isomorphism relation for simple regular rings . Publ. Math , 36 : 369 – 388 .
  • Ara , P. , Goodearl , K.R. , O'Meara , K.C. and Pardo , E. 1992 . Separative cancellation for protective modules over exchange rings . Israel J. Math , 36 to appear
  • Ara , P. , O'Meara , K.C. and Tyukavkin , D.V. 1996 . Cancellation of protective modules over regular rings with comparability . Journal of Pure and Applied Algebra , 107 : 19 – 38 .
  • Brookfield , G. 1998 . Direct sum cancellation of noetherian modules . J. Algebra , 200 : 207 – 224 .
  • Goodearl , K.R. 1979 . Von Neumann Regular Rings , London, Florida : Pitmann . Krieger. Malabar,1991
  • Kado , J. 1979 . Projective modules over simple regular rings . Osaka J. Math , 16 : 405 – 412 .
  • Kutami , M. 1985 . On projective modules over directly finite regular rings satisfying the comparability axiom . Osaka J. Math , 22 : 815 – 819 .
  • Kutami , M. 1988 . Protective modules over regular rings of bounded index . Math. J. Okayama Univ , 30 : 53 – 62 .
  • Kutami , M. 1996 . On unit-regular rings satisfying s-comparability . Osaka J. Math , 33 : 983 – 995 .
  • Kutami , M. 1996 . The property special (DF) for unit-regular rings . Math. J. Okayama Univ , 33 to appear
  • Kutami , M. and Inoue , I. 1993 . The property (DF) for regular rings whose primitive factor rings are artinian . Math. J. Okayama Univ , 35 : 169 – 179 .
  • Kutami , M. and Oshiro , K. 1987 . On protective modules over directly finite regular rings satisfying the comparability axiom II . Osaka J. Math , 24 : 465 – 473 .
  • Menal , P. and Moncasi , J. 1982 . On regular rings with stable range 2 . Journal of Pure and Applied Algebra , 24 : 25 – 40 .
  • Pardo , E. 1996 . Comparability, separativity, and exchange rings . Comm. in Algebra , 24 ( 9 ) : 2915 – 2929 .
  • Warfield , R.B. Jr . August 1975 . Notes on cancellation, stable range, and related topics , August , Univ. of Washington .
  • Warfield , R.B. Jr . 1980 . Cancellation of modules and groups and siable range of endomorphism rings . Pacific J. Math , 91 August : 457 – 485 .

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