SOME NEW NEAR-RINGS FROM OLD RINGS

摘要

In this paper, from the given ring (R, +, ), we will construct that a new kindof near-rings, that is, (e, t)-near-ring (R, +, *) with given addition in R andnew multiplication * which is expressed in terms of the original multiplicationand addition by defining a * b to be a polynomial in a and b, where e and t arefixed (central) orthogonal idempotents in R. Next, we will give some examplesand study related substructures of (e, t)-near-rings and those of base rings.