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.

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**Book Description **Condition: New. Publisher/Verlag: LAP Lambert Academic Publishing | 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. | Format: Paperback | Language/Sprache: english | 144 pp. Seller Inventory # K9783659642357

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**Book Description **LAP Lambert Academic Publishing. Paperback. Condition: New. 144 pages. Dimensions: 9.0in. x 6.0in. x 0.3in.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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9783659642357

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**Book Description **LAP Lambert Academic Publishing, United States, 2015. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.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. Seller Inventory # AAV9783659642357

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**Book Description **LAP Lambert Academic Publishing Mai 2015, 2015. Taschenbuch. Condition: Neu. Neuware - 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. 144 pp. Englisch. Seller Inventory # 9783659642357

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**Book Description **LAP Lambert Academic Publishing Mai 2015, 2015. Taschenbuch. Condition: Neu. Neuware - 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. 144 pp. Englisch. Seller Inventory # 9783659642357

Published by
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ISBN 10: 3659642355
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**Book Description **LAP Lambert Academic Publishing Mai 2015, 2015. Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Neuware - 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. 144 pp. Englisch. Seller Inventory # 9783659642357