Local Algebra

Focusing on Commutative Algebra, this English translation of a lecture series emphasizes modules, homological methods, and intersection multiplicities as Euler-Poincare characteristics. Originally delivered by Pierre Gabriel at the College de France, the text has been updated by Chee Whye Chin to modernize terminology and include additional content on graded algebras. The translation aims to enhance clarity while maintaining the informal style of lecture notes, alongside updated references to contemporary works in the field.