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Localization (commutative algebra)
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Related lectures (31)
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Q is a Field
Covers the properties of rational numbers and introduces the concept of an ordered field in Q.
Division Rings and Ideals
Covers division rings, fields, and ideals in commutative rings with examples in Z and quaternions.
Flow Equations: Singular SPDEs and Quantum Field Theory
Covers recent research on singular SPDEs and their applications in quantum field theory.
Linear Algebra: Modules and Endomorphisms
Explores modules, endomorphisms, and linear applications in algebra, including A-modules and commutative rings.
Rings and Ideals
Explores rings, domains, fields, and ideals, with a focus on constructions and properties.
Representation Theory: Hasse's Theorem
Explores Hasse's representation theory, emphasizing commuting operators and multiple representations.
Dimension Theory of Rings
Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.
Ideals in Commutative Rings
Covers the concept of ideals in commutative rings and their role in ring homomorphisms.
Mathematical Parenthesis on Groups and Lagrange Theorem
Explores cosets in commutative groups, Lagrange theorem, and integer factorization.
Morphisms between Affine Varieties
Covers defining morphisms between affine algebraic varieties and constructing morphisms using algebraic homomorphisms.