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Anglický jazyk
Right Jacobson Radicals For Right Near-Rings
Autor: Siva Prasad Korrapati
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... Viac o knihe
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O knihe
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.
- Vydavateľstvo: LAP LAMBERT Academic Publishing
- Rok vydania: 2015
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9783659642357
