Planar Near-Rings, Sandwich Near-Rings and Near-Rings with Right Identity

Gerhard Wendt
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Gerhard Wendt: J. Kepler Univ. Linz, Institut für Algebra

A chapter in Nearrings and Nearfields, 2005, pp 277-291 from Springer

Abstract: Abstract We show that every near-ring containing a multiplicative right identity can be described as a centralizer near-ring with sandwich multiplication. Using 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.

Keywords: Unique Solution; Minimal Left Ideal; Descend Chain Condition; Sandwich Multiplication; Isomorp Hism (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3391-9_15

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DOI: 10.1007/1-4020-3391-5_15

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