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.
"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