Publications

1. E. Aichinger.
   Local interpolation near-rings as a frame-work for the density theorems.
   In Contributions to General Algebra, volume 9, pages 27 - 36. Verlag Hölder-Pichler-Tempsky, Wien - Verlag B.G. Teubner, Stuttgart, 1995.

2. E. Aichinger.
   Planar rings.
   Results in Mathematics, 30:10-15, 1996.

3. E. Aichinger.
   Local polynomial functions on the integers.
   Riv. Mat. Univ. Parma (5), 6:169-177, 1997.

4. E. Aichinger.
   A note on simple composition rings.
   In Nearrings, nearfields and $K$ -loops (Hamburg, 1995), pages 167-173. Kluwer Acad. Publ., Dordrecht, 1997.

5. E. Aichinger and C. Nöbauer.
   The cardinalities of the endomorphism near-rings ${I}({G})$ , ${A}({G})$ , and ${E}({G})$ for all groups ${G}$ with $\vert {G}\vert \leq 31$ .
   In Nearrings, nearfields and $K$ -loops (Hamburg, 1995), pages 175-178. Kluwer Acad. Publ., Dordrecht, 1997.

6. E. Aichinger.
   On maximal ideals of tame near-rings.
   Riv. Mat. Univ. Parma (6), 2 $^\mathbf{*}$ :215-233, 1999.

7. E. Aichinger.
   On Hagemann's and Herrmann's characterization of strictly affine complete algebras.
   Algebra Universalis, 44:105-121, 2000.

8. F. Binder, E. Aichinger, J. Ecker, C. Nöbauer, and P. Mayr.
   Algorithms for near-rings of non-linear transformations.
   In Proceedings of the ISSAC 2000, pp. 23-29, St. Andrews, Scotland, pages 23-29. ACM, 2000.

9. E. Aichinger, J. Ecker, and C. Nöbauer.
   The use of computers in near-ring theory.
   In Near-rings and Near-fields. Proceedings of the Conference on Near-rings and Near-fields, Stellenbosch, South Africa, 1997, pages 35-41. Kluwer Academic Publisher, Dordrecht, 2001.

10. E. Aichinger.
    On near-ring idempotents and polynomials on direct products of $\Omega$ -groups.
    Proc. Edinburgh Math. Soc. (2), 44:379-388, 2001.

11. E. Aichinger.
    On the maximal ideals of non-zero-symmetric near-rings and of composition algebras of polynomial functions on $\Omega$ -groups.
    Quaest. Math., 24(4):453-480, 2001.

12. E. Aichinger.
    $2$ -affine complete algebras need not be affine complete.
    Algebra Universalis, 47(4):425-434, 2002.

13. E. Aichinger.
    The polynomial functions on certain semidirect products of groups.
    Acta Sci. Math. (Szeged), 68(1-2):63-81, 2002.

14. E. Aichinger and G. F. Pilz.
    A survey on polynomials and polynomial and compatible functions.
    In Proceedings of the Third International Algebra Conference (Tainan, 2002), pages 1-16, Kluwer Acad. Publ., Dordrecht, 2003.

15. E. Aichinger and P. Mayr.
    Polynomial functions and endomorphism near-rings on certain linear groups.
    Communications in Algebra, 31(11): 5627-5651, 2003.

16. E. Aichinger, F. Binder, J. Ecker, P. Mayr, and C. Nöbauer.
    SONATA - system of near-rings and their applications, GAP package, Version 2, 2003.
    (http://www.algebra.uni-linz.ac.at/Sonata/).

17. E. Aichinger and P. M. Idziak.
    Polynomial interpolation in expanded groups.
    J. Algebra, 271(1):65-107, 2004.

18. E. Aichinger and M. Farag.
    On when the multiplicative center of a near-ring is a subnear-ring.
    Aequationes Mathematicae, 68:46-59, 2004.

19. E. Aichinger, D. Mašulovic, R. Pöschel, and J. S. Wilson.
    Completeness for concrete near-rings.
    J. Algebra, 279(1):61-78, 2004.

20. E. Aichinger.
    The variety of near-rings is generated by its finite members.
    Monatsh. Math., 143(2):89-103, 2004.

21. E. Aichinger.
    A bound on the number of unary polynomial functions and a decidability result for near-rings.
    International Journal of Algebra and Computation, 15: 279-289, 2005.

22. E. Aichinger.
    The near-ring of congruence preserving functions on an expanded group.
    Journal of Pure And Applied Algebra, 205: 74-93, 2006.

23. E. Aichinger and J. Ecker.
    Every $(k+1)$ -affine complete nilpotent group of class $k$ is affine complete.
    International Journal of Algebra and Computation, 16: 259-274, 2006.

24. E. Aichinger.
    The polynomial functions of certain algebras that are simple modulo their center.
    In Contributions to general algebra, volume 17, 9-24, 2006.

25. E. Aichinger and P. Mayr.
    Polynomial clones on groups of order $pq$ .
    Acta Mathematica Hungarica, 114: 267-285, 2007.

26. E. Aichinger, D. Mašulovic, and R. Pöschel.
    Complexity of Mal'cev interpolation.
    Novi Sad Journal of Mathematics, 37: 107-114, 2007.

27. E. Aichinger, G. A. Cannon, J. Ecker, L. Kabza, and K. Neuerburg.
    Some near-rings in which all ideals are intersections of Noetherian quotients.
    Rocky Mountain Journal of Mathematics, 38: 713-726, 2008.