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Radical theory --- Radicalen [Theorie van de ] --- Radicaux [Theorie des ]
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Radical theory --- Torsion theory (Algebra) --- Associative rings --- Nonassociative rings
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Associative rings --- Modules (Algebra) --- Radical theory --- Congresses. --- Congresses --- Associative rings - Congresses. --- Modules (Algebra) - Congresses. --- Radical theory - Congresses.
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Associative rings --- Radical theory --- 512 --- 512 Algebra --- Algebra --- Commutative rings --- Rings (Algebra) --- Ordered algebraic structures
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Radical theory --- RINGS (Algebra) --- Modules (Algebra) --- Algebres et anneaux associatifs --- Ideaux et modules --- Categories (mathematiques) --- Categories abeliennes
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Ordered algebraic structures --- 512 --- Associative rings --- -Modules (Algebra) --- -Radical theory --- -Associative rings --- Commutative rings --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings (Algebra) --- Congresses --- Modules (Algebra) --- Radical theory --- Congresses. --- -Algebra --- 512 Algebra --- -512 Algebra --- Algèbres associatives --- Associative algebras --- Algèbres associatives. --- Algèbres associatives.
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Algebraic fields --- Geometry --- Equations --- Radical theory --- Famous problems --- numerical solutions --- Algebraic fields. --- Radical theory. --- Famous problems. --- Numerical solutions. --- 512.62 --- -Geometry --- -Radical theory --- Associative rings --- Commutative rings --- Algebraic number fields --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Algebraic number theory --- Rings (Algebra) --- 512.62 Fields. Polynomials --- Fields. Polynomials --- Mathematics --- Euclid's Elements --- Algebra --- Numerical solutions --- Problems, Famous --- Corps algébriques --- Géométrie --- Solutions numériques --- Problèmes classiques --- Famous problems in geometry --- Problems, Famous, in geometry --- Graphic methods --- Geometry - Famous problems --- Equations - numerical solutions --- Corps et polynomes
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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
Ordered algebraic structures --- Group algebras. --- Jacobson radical. --- Modules (Algebra) --- Group algebras --- Jacobson radical --- 512.55 --- 512.55 Rings and modules --- Rings and modules --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings (Algebra) --- Jacobson's radical --- Radical, Jacobson --- Radical theory --- Algebras, Group --- Abelian groups --- Locally compact groups
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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.
Equations --- Geometry --- Famous problems in geometry --- Problems, Famous, in geometry --- Algebra --- Numerical solutions. --- Famous problems. --- Problems, Famous --- Graphic methods --- Algebraic fields. --- Radical theory. --- Associative rings --- Commutative rings --- Algebraic number fields --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Algebraic number theory --- Rings (Algebra)
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