Variety (universal algebra)

Related lectures (23)

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Covers defining morphisms between affine algebraic varieties and constructing morphisms using algebraic homomorphisms.

Covers monads as data structures with specific laws and examples like List and Option.

Explores algebraic operations on limits of sequences and discusses the uniqueness of limits and properties of convergent and divergent sequences.

Explores algebraic structures of morphism spaces, including stability properties and injective ring homomorphisms.

Covers the manipulation of algebraic laws on complex numbers.

Explores ring homomorphisms, bilateral ideals, ring features, and ideal operations.

Explores algebraic structures, classes of examples, and properties of cyclic groups.

Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.

Explores the direct sum of abelian groups, emphasizing bijections and uniqueness.

Covers the fundamentals of polynomials, endomorphisms, division, roots, matrices, and algebraic homomorphisms.