The lattice of left ideals in a centralizer near-ring is distributive
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- by Kirby C. Smith PDF
- Proc. Amer. Math. Soc. 85 (1982), 313-317 Request permission
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
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- Günter Pilz, Near-rings, North-Holland Mathematics Studies, No. 23, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1977. The theory and its applications. MR 0469981 Wielandt, Unpublished manuscripts from the years 1937-1952.
Additional Information
- © Copyright 1982 American Mathematical Society
- 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