This module is a basic introduction to commutative and homological algebra. It covers the following topics: prime spectrum of a commutative ring, exact sequences, projective, injective and flat modules, Ext and Tor, integral ring extensions, Noether’s normalization and Hilbert’s Nullstellensatz, Noetherian and Artinian rings and moduels, dimension theory, Dedekind domains and discrete valuation ring.
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