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Literatur

ABE$^+$99
E. Aichinger, F. Binder, J. Ecker, R. Eggetsberger, P. Mayr, and C. Nöbauer, SONATA - system of near-rings and their applications, package for the group theory system GAP4, Division of Algebra, Johannes Kepler University Linz, Austria, 1999.

Adl62
I. Adler, Composition rings, Duke Math. J. 29 (1962), 607-625.

AEN01
E. Aichinger, J. Ecker, and C. Nöbauer, The use of computers in near-ring theory, Near-rings and Near-fields. Proceedings of the Conference on Near-rings and Near-fields, Stellenbosch, South Africa, 1997, Kluwer Academic Publisher, Dordrecht, 2001, pp. 35-41.

AI01
E. Aichinger and P. M. Idziak, Polynomial interpolation in expanded groups, submitted, 2001.

Aic97
E. Aichinger, A note on simple composition rings, Nearrings, nearfields and $ K$-loops (Hamburg, 1995), Kluwer Acad. Publ., Dordrecht, 1997, pp. 167-173.

Aic02
to3em, 2-affine complete algebras need not be affine complete, Algebra Universalis 47 (2002), no. 4, 425-434.

AMPW02
E. Aichinger, D. Mašulovic, R. Pöschel, and J.S. Wilson, Completeness for concrete near-rings, Technical report MATH-AL-14-2002, Technische Universität Dresden, September 2002.

BAE$^+$00
F. Binder, E. Aichinger, J. Ecker, C. Nöbauer, and P. Mayr, Algorithms for near-rings of non-linear transformations, Proceedings of the ISSAC 2000, pp. 23-29, St. Andrews, Scotland, ACM, 2000, pp. 23-29.

BM01
F. Binder and P. Mayr, Algorithms for finite near-rings and their $ {N}$-groups, J. Symbolic Comput. 32 (2001), no. 1-2, 23-38, Computer algebra and mechanized reasoning (St. Andrews, 2000).

Cla92
J. R. Clay, Nearrings: Geneses and applications, Oxford University Press - Oxford, New York, Tokyo, 1992.

FHP90
P. R. Fuchs, G. Hofer, and G. F. Pilz, Codes from planar near rings, IEEE Trans. Inform. Theory 36 (1990), no. 3, 647-651.

GAP99
The GAP Group, Aachen, St. Andrews, GAP - Groups, Algorithms, and Programming, Version 4.1, 1999, (http://www-gap.dcs.st-and.ac.uk/~gap).

KP01
K. Kaarli and A. F. Pixley, Polynomial completeness in algebraic systems, Chapman & Hall / CRC, Boca Raton, Florida, 2001.

Neu56
H. Neumann, On varieties of groups and their associated near-rings, Math. Z. 65 (1956), 36-69.

Pil83
G. F. Pilz, Near-rings, 2nd ed., North-Holland Publishing Company - Amsterdam, New York, Oxford, 1983.

Sco69
S. D. Scott, The arithmetic of polynomial maps over a group and the structure of certain permutational polynomial groups. I, Monatsh. Math. 73 (1969), 250-267.

Wil99
W. Willems, Codierungstheorie, de Gruyter, Berlin, New York, 1999.


Erhard Aichinger 2003-05-06