Fundamentals of Modern Algebra (Q3467589)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fundamentals of Modern Algebra |
scientific article |
Statements
Fundamentals of Modern Algebra (English)
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3 February 2016
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group
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subgroup
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normal subgroup
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cosets
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quotient group
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homomorphism
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Lagrange's theorem
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universal property for kernels
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structure theorem for finitely generated abelian groups
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Cauchy's theorem
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Sylow's theorems
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ring of matrices
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polynomial ring
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ring of fractions
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principal ideal domains
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unique factorization domains
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absolute value
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Noetherian ring
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Hilbert basis theorem
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free modules
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projective modules
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bilinear maps
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tensor product of modules
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commutative algebras
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dual of free modules with respect to a bilinear form
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discriminant of module
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simple algebraic field extensions
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Galois groups
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fundamental theorem of Galois theory
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Dedekind domain
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class group
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cyclotomic fields
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finite fields
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linearly recurrent sequences
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