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Real radicals and roots of unity
pdf.
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Separability and derivatives
pdf.
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Finite-dimensional commutative algebras
pdf.
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Inseparable extensions
pdf.
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Norm and trace
pdf.
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Separating transcendence basis
pdf.
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Modules of differentials
pdf.
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Irreducible closed sets and primes
pdf.
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Spec
pdf.
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Generalized Cayley-Hamitlon
pdf.
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Integral closure and localization
pdf.
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Quadratic integer rings
pdf.
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Artinian rings
pdf.
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Normal field extensions
pdf.
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Noether normalization
pdf.
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Dimension and codimension
pdf.
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Dedekind domains
pdf.
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Product decomposition of artinian rings
pdf.
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Why study representation theory?
pdf.
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Quaternions
pdf.
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Abelian dual group and finite Fourier transform
pdf.
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Character theory for compact Lie groups
pdf.
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Frobenius-Schur (realizability over the real numbers)
pdf.
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Induced representations and A_5 character table
pdf.
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Completion
pdf.
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Gluing
pdf.
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Some history
pdf.
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