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May 2017 Centers and Generalized Centers of Nearrings Without Identity
G. Alan Cannon, Vincent Glorioso, Brad Bailey Hall, Taylor Triche
Missouri J. Math. Sci. 29(1): 2-11 (May 2017). DOI: 10.35834/mjms/1488423696

Abstract

The center of a nearring $N$, in general, is not a subnearring of $N$. The center, however, is contained in a related structure, the generalized center, which is always a subnearring. We give three constructions of nearrings without multiplicative identity and characterize their centers and generalized centers. We find that the centers of these nearrings are always subnearrings.

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G. Alan Cannon. Vincent Glorioso. Brad Bailey Hall. Taylor Triche. "Centers and Generalized Centers of Nearrings Without Identity." Missouri J. Math. Sci. 29 (1) 2 - 11, May 2017. https://doi.org/10.35834/mjms/1488423696

Information

Published: May 2017
First available in Project Euclid: 2 March 2017

zbMATH: 1369.16043
MathSciNet: MR3619770
Digital Object Identifier: 10.35834/mjms/1488423696

Subjects:
Primary: 16Y30

Rights: Copyright © 2017 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.29 • No. 1 • May 2017
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