Algebraic Quotients

Related lectures (32)

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Covers the operations in rings, ideals, classes, and quotient rings.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Covers algebraic subsets of A^1 and ideals with a finite set of points.

Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

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

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Explores isotypic decomposition in finitely generated C-algebras and its implications, including G-stable ideals and linear projections.

Explores affine varieties, hypersurfaces, dimension in algebraic geometry, minimal prime ideals, and local properties of plane curves.