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Goro ShimuraDiscusses algebraic number theory and the theory of semisimple algebras.Discusses classification of quadratic forms over the ring of algebraic integers.Discusses local class field theory.Presents a ne
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Algebras Over a Field,ssociative ring . which is also a vector space over . such that . for . and . If . has an identity element, we denote it by . or simply by . Identifying . with . for every . we can view . as a subring of ..
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Jeff R. Wright,Lyna L. Wiggins,T. John Kiml . an . over ., or simply an .., if . for every . and . If . has an identity element . then identifying . with . we can view . as a subfield of .. Notice that . and so two laws of multiplication for the elements of . (one in the vector space and the other in the ring) are the same. Every field exte
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Eric J. Heikkila,Edwin J. Blewettssociative ring . which is also a vector space over . such that . for . and . If . has an identity element, we denote it by . or simply by . Identifying . with . for every . we can view . as a subring of ..
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https://doi.org/10.1007/978-3-642-83126-3We take a base field . and consider a finite-dimensional vector space . over . and an .-valued .-bilinear form . We call, as usual, .. if . for every .