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- ABE$^+$99
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E. Aichinger, F. Binder, J. Ecker, R. Eggetsberger, P. Mayr, and
C. Nöbauer, SONATA - system of near-rings and their applications,
package for the group theory system GAP4, Division of Algebra, Johannes
Kepler University Linz, Austria, 1999.
- Adl62
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I. Adler, Composition rings, Duke Math. J. 29 (1962), 607-625.
- AEN01
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E. Aichinger, J. Ecker, and C. Nöbauer, The use of computers in
near-ring theory, Near-rings and Near-fields. Proceedings of the Conference
on Near-rings and Near-fields, Stellenbosch, South Africa, 1997, Kluwer
Academic Publisher, Dordrecht, 2001, pp. 35-41.
- AI01
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E. Aichinger and P. M. Idziak, Polynomial interpolation in expanded
groups, submitted, 2001.
- Aic97
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E. Aichinger, A note on simple composition rings, Nearrings, nearfields
and
-loops (Hamburg, 1995), Kluwer Acad. Publ., Dordrecht, 1997,
pp. 167-173.
- Aic02
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to3em, 2-affine complete algebras need not be affine complete, Algebra
Universalis 47 (2002), no. 4, 425-434.
- AMPW02
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E. Aichinger, D. Mašulovic, R. Pöschel, and J.S. Wilson,
Completeness for concrete near-rings, Technical report
MATH-AL-14-2002, Technische Universität Dresden, September 2002.
- BAE$^+$00
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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
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F. Binder and P. Mayr, Algorithms for finite near-rings and their
-groups, J. Symbolic Comput. 32 (2001), no. 1-2, 23-38,
Computer algebra and mechanized reasoning (St. Andrews, 2000).
- Cla92
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J. R. Clay, Nearrings: Geneses and applications, Oxford University Press
- Oxford, New York, Tokyo, 1992.
- FHP90
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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
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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
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K. Kaarli and A. F. Pixley, Polynomial completeness in algebraic
systems, Chapman & Hall / CRC, Boca Raton, Florida, 2001.
- Neu56
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H. Neumann, On varieties of groups and their associated near-rings,
Math. Z. 65 (1956), 36-69.
- Pil83
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G. F. Pilz, Near-rings, 2nd ed., North-Holland Publishing Company -
Amsterdam, New York, Oxford, 1983.
- Sco69
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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
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W. Willems, Codierungstheorie, de Gruyter, Berlin, New York, 1999.
Erhard Aichinger
2003-05-06