110
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Closed Polynomials in Polynomial Rings over Unique Factorization Domains

&
Pages 1935-1938 | Received 17 May 2013, Published online: 27 Feb 2015

REFERENCES

  • Arzhantsev , I. V. , Petravchuk , A. P. ( 2007 ). Closed polynomials and saturated subalgebras of polynomial algebras . Ukrainian Math. J. 59 : 1783 – 1790 .
  • Ayad , M. ( 2002 ). Sur les plyn mes f(X, Y) tels que K[f] est intégralement fermé dans K[X, Y] . Acta Arith. 105 : 9 – 28 .
  • El Kahoui , M. ( 2004 ). Constants of derivations in polynomial rings over unique factorization domains . Proc. Amer. Math. Soc. 132 : 2537 – 2541 .
  • van den Essen , A. , Moulin Ollagnier , J. , Nowicki , A. ( 2006 ). Rings of constants of the form k[f] . Comm. Alg. 34 : 3315 – 3321 .
  • Je¸drzejewicz , P. ( 2011 ). Positive characteristic analogue of closed polynomials . Cent. Eur. J. Math. 9 : 50 – 56 .
  • Kojima , H. ( 2011 ). On the kernels of some higher derivations in polynomial rings . J. Pure Appl. Alg. 215 : 2512 – 2514 .
  • Nowicki , A. ( 1994 ). Rings and fields of constants for derivations in characteristic zero . J. Pure Appl. Alg. 96 : 47 – 55 .
  • Nowicki , A. , Nagata , M. ( 1988 ). Rings of constants for k-derivations in k[x 1,…, x n ] . J. Math. Kyoto Univ. 28 : 111 – 118 .
  • Communicated by I. Shestakov.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.