Right Jacobson Radicals For Right Near-Rings

ISBN-13: 9783659642357 / Angielski / Miękka / 2015 / 144 str.

Korrapati Siva Prasad;Ravi Srinivasa Rao

Opis

The Jacobson radical is a very significant radical in rings.It is well known in ring theory that the right and left Jacobson radicals of a ring are the same but a right(left)primitive ring need not be a left(right)primitive ring.No true generalization of Wedderburn-Artin theorem of rings was developed to near-rings which involves direct product of matrix near-rings.This requires the right Jacobson radicals of near-rings. Three right Jacobson radicals are introduced and it is established that they are all Kurosh-Amitsur radicals in the class of all near-rings in which the constant part of a near-ring is an ideal of that near-ring.Their relations with the existing radicals of near-rings are presented. Also another three right Jacobson radicals are introduced and it is established that they are all Kurosh-Amitsur radicals in the class of all near-rings and are also ideal-hereditary in the class of all zero-symmetric near-rings. Semisimple classes of these Jacobson radicals are studied and some generalizations of Wedderburn-Artin theorem of rings are presented.

O autorze

Dr Siva Prasad is an Asst.Prof.in the Dept.of Mathematics,Acharya Nagarjuna University(ANU),A.P.,India.He got M.Phil& Ph.D.from ANU.He published 17 research papers.Dr Srinivasa Rao is professor of Mathematics at RVR&JC College of Engg., GNT,A.P.He qualified in UGC JRF and got Ph.D.from ANU.He published 20 research papers in International journals