Finiteness Conditions

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Chapter 8 Finiteness Conditions

We start our study of commutative algebra by discussing modules and algebras, the most important structures over a given ring. We will discuss module-finite versus algebra-finite ring extensions, the relationship between the two concepts, and how they relate to integral extensions. We will then be ready to discuss noetherian rings; most of the rings we will be interested in are noetherian, as it often happens in commutative algebra.

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