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C-Radikale
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ISBN: 3132189049 Year: 1989 Volume: Band E 19 a Publisher: Stuttgart New York Thieme

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Book
Radical theory
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ISBN: 9780582019928 0582019923 Year: 1989 Publisher: Harlow: Longman scientific and technical,

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Rings, modules and radicals : proceedings of the Hobart conference, 1987
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ISBN: 0470213116 9780470213117 Year: 1989 Volume: 204 Publisher: Harlow Longman scientific & technical

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Radicals of rings
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ISBN: 0471275832 Year: 1981 Publisher: Chichester Wiley

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Rings, modules, and preradicals
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ISBN: 0824715683 9780824715687 Year: 1982 Volume: 75 Publisher: New York : Marcel Dekker,

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Rings, modules and radicals : [papers and problems from the international colloquium on associative rings, modules and radicals at Keszthely (Lake Balaton), 9-13 August 1971]
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ISBN: 0720420709 Year: 1973 Publisher: Amsterdam : Budapest : North-Holland, János Bolyai matematikai társulat = Janos Bolyai mathematical society,

The Jacobson radical of group algebras
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ISBN: 0444701907 9780444701909 9780080872469 0080872468 1281798002 9781281798008 9786611798000 Year: 1987 Volume: 135 Publisher: Amsterdam New York New York, N.Y., U.S.A. North-Holland Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.

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Let G be a finite group and let F be a field. It is well known that linear representations of G over F can be interpreted as modules over the group algebra FG. Thus the investigation of ring-theoretic structure of the Jacobson radical J(FG) of FG is of fundamental importance. During the last two decades the subject has been pursued by a number of researchers and many interesting results have been obtained. This volume examines these results.The main body of the theory is presented, giving the central ideas, the basic results and the fundamental methods. It is assumed that the reader ha

Field theory and its classical problems
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ISBN: 1614440190 9781614440192 088385032X 9780883850329 Year: 2000 Publisher: [Washington, D.C.]

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Field Theory and its Classical Problems lets Galois theory unfold in a natural way, beginning with the geometric construction problems of antiquity, continuing through the constructibility of regular n-gons and the properties of roots of unity, and then on to the solvability of polynomial equations by radicals, and beyond. The logical pathway is historic, but the terminology is consistent with modern treatments. No previous knowledge of groups, fields, or abstract algebra is assumed. Notable topics treated along this route include the transcendence of e and of pi, cyclotomic polynomials, polynomials over the integers, Hilbert's, irreducibility theorem, and many other gems in classical mathematics. Historical and bibliographical notes complement the text, and complete solutions are provided to all problems. Field Theory and its Classical Problems is a winner of the MAA Edwin Beckenbach Book Prize for excellence in mathematical exposition.

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