Homomorphisms and Projective Resolutions

Related lectures (32)

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Explores chain conditions in module theory, emphasizing Noetherian modules and stabilizing sequences of submodules.

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

Covers chain maps, homotopy invariance, homology groups, and induced homomorphisms between cycles and boundaries.

Covers rings and modules, emphasizing color codes and homological algebra concepts.

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

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

Covers the construction of long exact sequences of Ext-modules and provides illustrative examples.

Explores modules, sub-modules, and morphisms in algebraic structures.

Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.