Rings and Modules: Lecture 1

Related lectures (32)

Explores modules, endomorphisms, and linear applications in algebra, including A-modules and commutative rings.

Explores the long exact sequence of Ext-modules and their computations in homological algebra.

Introduces the definition and examples of A-modules, including sub-modules and ideals.

Explores local rings, Noetherian rings, and minimal primes in the context of integral domains.

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

Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Explores Python modules, program hierarchy, module importing, and namespaces, including variables and scopes within functions.

Explores modules over a ring, injective morphisms, isomorphisms, and canonical groups.

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

Covers the fundamental theorem of finitely generated modules over a PID.

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