Peter Fuchs

He has gone on to publish over thirty papers, collaborating with many people in the process.

• "The role of filters for describing substructures of transformation near- rings", Institutsber. No. 278, 1984, Univ. Linz, Austria
• "Ultraproducts of 1/2-groups", Diss. Univ. Linz, Austria, 1985. mr 89e-03046.
• "On the ideal structure in ultraproducts of affine near-rings", in ``Near-Rings and Near-Fields'' (ed.: G.~Betsch), North-Holland, Amsterdam 1987, 79-86. mr 88c-16048.
• "Isomorphisms between lattices of filters and lattices of substructures in transformation near-rings", manuscript
• "On near-rings in which the constants form an ideal", Bull. Austral. Math. Soc. 39 (1989), 171-175. mr 90e-16059.
• "On function algebras in which every congruence is determined by a filter", J. Pure and Appl. Algebra 67 (1990), 259-267. mr 92b-08002.
• "On pseudo-finite near-fields which have finite dimension over the center", Proc. Edinb. Math. Soc. 32 (1989), 371-375. mr 90h-12014.
• "On the structure of ideals in sandwich near-rings", Results in Math. 17 (1990), 256-271. mr 91e-16054.
• "A decoding method for planar near-ring codes", Riv. Mat. Univ. Parma (4) 17. (1991), 325-331. mr 93g-16055.
• "A characterisation result for matrix rings", Bull. Austral. Math. Soc. 43 (1991), 265-267.
• "On the construction of codes by using composition", in: Contrib. Gen. Alg. 8 (ed.: G.Pilz), Hölder-Pichler-Tempsky, Vienna and Teubner, Stuttgart, 1992, 71-80.
• with HOFER, Gerhard and PILZ, Günter "Codes from planar near-rings", IEEE Trans. on Information Theory 36 (1990), 647-651. mr 91b-94028
• with MAXSON, Carlton J.
  • "Kernels of covered groups with operators", J. of Algebra 114 (1988), 68-80. mr 89e-20046
  • "Near-fields associated with invariant linear $\kappa$-relations", Proc. Amer. Math. Soc. 103 (1988), 729-736. mr 89f-16053.
  • "Meromorphic products determining near-fields", J. Austral. Math. Soc. A 46 (1989), 365-370. mr 90e-12022
  • "Centralizer near-rings determined by PID-modules", Arch. Math. 56 (1991), 140-147. mr 92a-16052.
  • "Rings of homogeneous functions determined by Artinian ring module", J.of Algebra, to appear.
• with KABZA, Lucyna "On the simplicity of non-zerosymmetric near-rings over meromorphic products" Communications in Algebra, to appear.
• with MAXSON, Carlton J. and PILZ, Günter F. "On rings for which homogeneous maps are linear", Proc. Amer. Math. Soc. 112 (1991), 1-7. mr 91h-16054.
• with MAXSON, Carlton J. and SMITH, K.C. "Centralizer near-rings determined by unions of groups", Result. Math. 11 (1987), 198-210. mr 88j-16046.
• with MAXSON, Carlton J., VAN DER WALT, Andries P.J. and KAARLI, Kalle "Centralizer near-rings determined by PID-modules, II", Periodica Math. Hung. 26 (2) (1993), 111-114.
• with MAXSON, C.J., PETTET, M.R. and SMITH, K.C "Centralizer near-rings determined by fixed point free automorphism groups", Proc. Royal Soc. of Edinburgh 107 A (1987), 327-337. mr 89a-16051.
• with PILZ, Günter
  • "Ultraproducts and ultralimits of near-rings", Monatsh. Math. 100 (1985), 105-112. mr 87j-16016.
  • "A new density theorem for primitive near-rings", submitted

Peter Fuchs
Institut f. ASW
Uni Linz
A-4040 LINZ
AUSTRIA

or by email