• ON THE HYPERCENTER OF A NEAR-FIELD SPACE OVER A NEAR-FIELD

Abstract

The problems we are going to consider here arose in another context, that of near-field spaces with sub near-field spaces and where existing rings with polynomial identities similar to that of. However, author feel the subject matter has an independent interest, and Dr N V Nagendram develop the material here. In what follows N will always be an associative near-field space over a near-field, Z(N) the center of N, and J(N) the Jacobson radical sub near-field space of a near-field space over a near-field N. When there will be no danger of ambiguity, we shall write Z(N) and J(N) as Z and J, respectively throughout this paper. We now define a certain sub near-field space of a near-field R which is closely related to the center.