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

Smith, Kirby C.

doi:10.1090/S0002-9939-1982-0656091-5

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Browser Compatibility Info Help
ISSN 1088-6826(online) ISSN 0002-9939(print)

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
MathSciNet review: 656091
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

[ill] Gerhard Betsch, Primitive near-rings, Math. Z. 130 (1973), 351–361. MR 0325706 (48 #4053)
[ill] Nathan Jacobson, Basic algebra. I, W. H. Freeman and Co., San Francisco, Calif., 1974. MR 0356989 (50 #9457)
[ill] J. Maxson and K. C. Smith, Centralizer near-rings: Left ideals and 0-primitivity, Proc. Roy. ish Acad. Sect. A (to appear).
[ill] J. Maxson, M. R. Pettet and K. C. Smith, On semisimple rings that are centralizer near-rings, acific J. Math, (to appear).
[ill] Günter Pilz, Near-rings, North-Holland Publishing Co., Amsterdam, 1977. The theory and its applications; North-Holland Mathematics Studies, No. 23. MR 0469981 (57 #9761)
[ill] Wielandt, Unpublished manuscripts from the years 1937-1952.

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|