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The lattice of left ideals in a centralizer near-ring is distributive


Author: Kirby C. Smith
Journal: Proc. Amer. Math. Soc. 85 (1982), 313-317
MSC: Primary 16A76; Secondary 06D10
DOI: https://doi.org/10.1090/S0002-9939-1982-0656091-5
MathSciNet review: 656091
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Abstract: A decomposition theorem for a left ideal in a finite centralizer near-ring is established. This result is used to show that the lattice of left ideals in a finite centralizer near-ring is distributive.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1982-0656091-5
Keywords: Centralizer, near-ring, distributive lattice
Article copyright: © Copyright 1982 American Mathematical Society