The Z-Constrained Conjecture

Stuart D. Scott ()
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Stuart D. Scott: University of Auckland, Department of Mathematics

A chapter in Nearrings and Nearfields, 2005, pp 69-168 from Springer

Abstract: Abstract A Z-constrained N-group is one without central minimal factors. Z-constrained tame nearrings with DCCR are defined differently but in accordance with this definition. A 3-tame nearing N has a unique maximal locally N-nilpotent right N-subgroup L(N). This right N-subgroup is an ideal. It is shown that if, for a compatible nearing N with DCCR, N/L(N) is Z-constrained, then all Fitting factors of faithful compatible N-groups are N-isomorphic. A number of other formulations of this theorem are possible. It is a big result that requires investigation into many other areas. One important concept, on which the proof rests, is that of realisations.

Keywords: compatibility; Z-constraint; Fitting factors; realisations (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_5

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DOI: 10.1007/1-4020-3391-5_5

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