Publications of Nikolaus Vonessen

1. Tame group actions on central simple algebras,  J. Algebra 318 (2007), 1039-1056.  Abstract. Download the paper from the Journal of Algebra. You can also download the pdf file of the final submitted version.
2. Group Actions and Invariants in Algebras of Generic Matrices (with Zinovy Reichstein ), Advances in Applied Mathematics 37, no. 4 (2006), 481-500 (in the special issue in honor of Amitai Regev on his 65th birthday). Abstract.  Download the paper from Advances in Applied Mathematics.  You can also download the pdf file of the final submitted version.
3. Group Actions on Central Simple Algebras: A Geometric Approach (with Zinovy Reichstein ), J. Algebra 304 (2006), 1160-1192. Abstract. Download the paper from the Journal of Algebra. You can also download the pdf file of the final submitted version.
4. Polynomial Identity Rings as Rings of Functions (with Zinovy Reichstein ), J. Algebra 310, no. 2 (2007), 624-647. Abstract.   Download the paper from the Journal of Algebra. You can also download the pdf file of the final submitted version.
5. Actions  of Solvable Algebraic Groups on Central Simple Algebras, Algebras and Representation Theory 10 (2007), 413-427. Abstract. Download the paper from the journal Algebras and Representation Theory. You can also download the pdf file of the final submitted version. 
   
6. Stable Affine Models for Algebraic Group Actions (with Zinovy Reichstein ), J. Lie Theory 14 (2004), 563-568.  Abstract.  This paper is freely available from the online version of the Journal of Lie Theory (one of the journals available through the Electronic Library of Mathematics).  You can also download the pdf file of the final submitted version. Review on MathSciNet.
7. Actions of Algebraic Groups on the Spectrum of Rational Ideals, II , J. Algebra 208 (1998), 216-261. Abstract. You can also download a dvi or postscript file of the final submitted version. Review on MathSciNet.
8. Actions of Algebraic Groups on the Spectrum of Rational Ideals , J. Algebra 182 (1996), 383-400.  Abstract. You can also download a dvi or postscript file of the final submitted version. Review on MathSciNet.
9. Free Subgroups of Division Algebras (with Zinovy Reichstein ), Comm. Algebra 23 (1995), 2181-2185. Abstract.  Review on MathSciNet.
10. Rational Central Simple Algebras (with Zinovy Reichstein ), Israel J. Math 95 (1996), 253-280. Abstract.  Review on MathSciNet.
11. An Embedding Property of Universal Division Algebras (with Zinovy Reichstein ), J. Algebra 177 (1995), 451-462. Abstract.  Review on MathSciNet.
12. Torus Actions on Rings (with Zinovy Reichstein ), J. Algebra 170 (1994), 781-804. Abstract.  Review on MathSciNet.
13. Rings with Polynomial Identities, An Elementary Introduction, Proceedings of the XII Brazilian Algebra Meeting, Matematica Contemporanea 7 (1994), 199-231. Abstract.  Review on MathSciNet.
14. Mapping Galois Extensions into Division Algebras, Proc. Amer. Math. Soc. 119 (1993), 1061-1068. Abstract. This paper is available from JSTOR. Review on MathSciNet.
15. Integrality for PI-Rings (with Amiram Braun ), J. Algebra 151 (1992), 39-79. Abstract.  Review on MathSciNet.
16. Actions of Linearly Reductive Groups on PI-Algebras, Trans. Amer. Math. Soc. 335 (1993), 425-442. Abstract. This paper is available from JSTOR.  Review on MathSciNet.
17. Prime Ideals in Intermediate Integral Centralizing Extensions of PI-Algebras, Comm. Algebra 19 (1991), 795-802. Abstract.  Review on MathSciNet.
18. Actions of Linearly Reductive Groups on Affine PI-Algebras, Mem. Amer. Math. Soc. 414 (1989), 106 pages. Abstract .  Review on MathSciNet. Published version of
19. Actions of Linearly Reductive Groups on Affine PI-Algebras, Ph.D.-thesis, Massachusetts Institute of Technology, May 1988.