Titlebook: Nearrings and Nearfields; Proceedings of the C Hubert Kiechle,Alexander Kreuzer,Momme Johs Thomse Conference proceedings 2005 Springer Scie

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Planar Near-Rings, Sandwich Near-Rings and Near-Rings with Right Identityg this result we characterize planar near-rings and near-rings solving the equation xa=c in terms of such centralizer near-rings with sandwich multiplication. We also get results on primitive near-rings and on minimal left ideals in primitive near-rings.

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Additive Gs-Automata and Syntactic Nearringsset of states are abelian groups. The properties of reachability and connectivity in .-automata are studied. The endomorphism semigroups of additive .-automata are investigated. Every ring can be embedded into the endomorphism ring of an additive .-automaton. 2000 Mathematics Subject Classification: 68Q70; 16Y30.

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