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Related lectures (32)
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Ring Constructions: Structure Theorems
Explores operations on ideals and structure theorems in commutative rings.
Amalgams: Group Pushouts
Covers the concept of amalgams, defining pushouts and quotient groups in group theory.
The Coordinate Ring of a Linearly Reductive Group
Covers the properties of the coordinate ring of a linearly reductive group.
Ring of Polynomials: Coefficients and Multiplication
Covers the ring of polynomials, focusing on coefficients and multiplication.
Polynomials: Definition and Operations
Covers polynomials, their operations, division theorem, and provides illustrative examples.
Algebraic Quotients
Covers the concept of algebraic quotients in the context of a-variety.
Well Pointed Spaces and Wedge
Discusses well pointed spaces, neighborhoods, wedges, examples, and the universal property of the quotient.
Irreducible Polynomials and Finite Fields
Explores irreducible polynomials, finite fields, and the construction of unique finite fields from irreducible polynomials.
Algebra Review: Rings, Fields, and Groups
Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.
Group Presentation of S3
Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.