On A 1 -fibrations of subalgebras of polynomial algebras

S. M. Bhatwadekar; Amartya K. Dutta

Compositio Mathematica (1995)

  • Volume: 95, Issue: 3, page 263-285
  • ISSN: 0010-437X

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Bhatwadekar, S. M., and Dutta, Amartya K.. "On $A^1$-fibrations of subalgebras of polynomial algebras." Compositio Mathematica 95.3 (1995): 263-285. <http://eudml.org/doc/90350>.

@article{Bhatwadekar1995,
author = {Bhatwadekar, S. M., Dutta, Amartya K.},
journal = {Compositio Mathematica},
keywords = {polynomial algebras; -fibration},
language = {eng},
number = {3},
pages = {263-285},
publisher = {Kluwer Academic Publishers},
title = {On $A^1$-fibrations of subalgebras of polynomial algebras},
url = {http://eudml.org/doc/90350},
volume = {95},
year = {1995},
}

TY - JOUR
AU - Bhatwadekar, S. M.
AU - Dutta, Amartya K.
TI - On $A^1$-fibrations of subalgebras of polynomial algebras
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 95
IS - 3
SP - 263
EP - 285
LA - eng
KW - polynomial algebras; -fibration
UR - http://eudml.org/doc/90350
ER -

References

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  2. [A-E-H] S S. Abhyankar, P. Eakin and W. Heinzer, On the uniqueness of the coefficient ring in a polynomial ring, J. Algebra23 (1972) 310-342. Zbl0255.13008MR306173
  3. [B-C-W] H. Bass, E.H. Connell and D.L. Wright, Locally polynomial algebras are symmetric algebras, Invent. Math.38 (1977) 279-299. Zbl0371.13007MR432626
  4. [B-D] S.M. Bhatwadekar and A.K. Dutta, On residual variables and stably polynomial algebras, Comm. Algebra21(2) (1993) 635-645. Zbl0778.13016MR1199695
  5. [G] J.M. Giral, Krull dimension, transcendence degree and subalgebras of finitely generated algebras, Arch. Math.36 (1981) 305-312. Zbl0457.13008MR623141
  6. [H] E. Hamann, On the R-invariance of R[X], J. Algebra35 (1975) 1-16. Zbl0318.13023MR404233
  7. [M] H. Matsumura, Commutative Algebra, 2nd ed. Benjamin (1980). Zbl0441.13001MR266911
  8. [N] M. Nagata, Local Rings. Interscience (1962). Zbl0123.03402MR155856
  9. [O] N. Onoda, Subrings of finitely generated rings over a pseudogeometric ring, Japan J. Math.10(1) (1984) 29-53. Zbl0594.13017MR884429
  10. [R-S] P. Russell and A. Sathaye, On finding and cancelling variables in k[X, Y, Z], J. Algebra57 (1979), 151-166. Zbl0411.13011MR533106
  11. [S] R.G. Swan, On seminormality, J. Algebra67 (1980) 210-229. Zbl0473.13001MR595029

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