Stably free, projective right ideals

J. T. Stafford

Compositio Mathematica (1985)

  • Volume: 54, Issue: 1, page 63-78
  • ISSN: 0010-437X

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Stafford, J. T.. "Stably free, projective right ideals." Compositio Mathematica 54.1 (1985): 63-78. <http://eudml.org/doc/89698>.

@article{Stafford1985,
author = {Stafford, J. T.},
journal = {Compositio Mathematica},
keywords = {finitely generated R-module; projective module; non-trivial stably free right ideals; Weyl algebras; group rings; polynomial extensions; enveloping algebras; finite dimensional Lie algebras; Ore extension; skew Laurent extension; noetherian domain; commutative, noetherian, local domain; Krull dimension},
language = {eng},
number = {1},
pages = {63-78},
publisher = {Martinus Nijhoff Publishers},
title = {Stably free, projective right ideals},
url = {http://eudml.org/doc/89698},
volume = {54},
year = {1985},
}

TY - JOUR
AU - Stafford, J. T.
TI - Stably free, projective right ideals
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 54
IS - 1
SP - 63
EP - 78
LA - eng
KW - finitely generated R-module; projective module; non-trivial stably free right ideals; Weyl algebras; group rings; polynomial extensions; enveloping algebras; finite dimensional Lie algebras; Ore extension; skew Laurent extension; noetherian domain; commutative, noetherian, local domain; Krull dimension
UR - http://eudml.org/doc/89698
ER -

References

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  1. [1] B.A. Artamonov: Projective, nonfree modules over group rings of solvable groups(Russian) Mat. sb. (N.S.)116 (1981) 232-244. Zbl0474.16007MR637862
  2. [2] W. Borho and R. Rentschler: Oresche Teilmengen in Einhüllenden Algebren, Math. Ann.217 (1975) 201-210. Zbl0297.17004MR401853
  3. [3] N. Jacobson: Lie algebras, Tracts in Pure and Applied Math. No. 10, Interscience, New York (1962). Zbl0121.27504MR143793
  4. [4] T.Y. Lam: Serre's conjecture, Lecture Notes in Math. No. 635, Springer-Verlag, Berlin/New York (1978). Zbl0373.13004MR485842
  5. [5] J. Lewin: Projective modules over group algebras of torsion-free groups, Michigan Math. J.29 (1982) 59-64. Zbl0483.16008MR646371
  6. [6] M. Ojanguren and R. Sridharan: Cancellation of Azumaya algebras, J. Algebra18 (1971) 501-505. Zbl0223.16006MR276271
  7. [7] D. Quillen: Higher algebraic K-theory, In: Algebraic K-theory I: Higher K-theories, Lecture Notes in Math. No. 341, Springer-Verlag, Berlin/New York (1973). Zbl0292.18004
  8. [8] R. Resco, L.W. Small and J.T. Stafford: Krull and global dimension of semiprime Noetherian PI rings, Trans. Amer. Math. Soc.274 (1982) 285-296. Zbl0495.16008MR670932
  9. [9] G.S. Rinehart and A. Rosenberg: The global dimension of Ore extensions and Weyl algebras. In: Algebra, Topology and Category Theory: a Collection of Papers in Honor of Samuel Eilenberg, Academic Press, New York (1976). Zbl0336.16028MR409563
  10. [10] J.T. Stafford: Stable structure of noncommutative Noetherian rings, J. Algebra47 (1977) 244-267. Zbl0391.16009MR447335
  11. [11] J.T. Stafford: The stability theorems: algebraic K-theory for non-commutative Noetherian rings. In: Proc. Durham Conference on Noetherian Rings and Rings with Polynomial identity, (mimeographed notes, Leeds University) (1980). 
  12. [12] R.G. Swan: Vector bundles and projective modules, Trans. Amer. Math. Soc.105 (1962) 264-277. Zbl0109.41601MR143225
  13. [13] D.B. Webber: Ideals and modules of simple Noetherian hereditary rings, J. Algebra16 (1970) 239-242. Zbl0211.06201MR265395

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