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Near-Rings and Near-Fields

Near-Rings and Near-Fields

G. Betsch

(2011)

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Abstract

Most topics in near-ring and near-field theory are treated here, along with an extensive introduction to the theory.
There are two invited lectures: ``Non-Commutative Geometry, Near-Rings and Near-Fields'' which indicates the relevance of near-rings and near-fields for geometry, while ``Pseudo-Finite Near-Fields'' shows the impressive power of model theoretic methods. The remaining papers cover such topics as D.G. near-rings, radical theory, KT-near-fields, matrix near-rings, and applications to systems theory.