Commutative Algebra

dc.contributor.authorHacen, ZELACI
dc.date.accessioned2025-10-02T09:42:13Z
dc.date.issued2025-10-02
dc.descriptionUne publication pédagogique destinée aux étudiants de première année de master en mathématiques
dc.description.abstractThese lecture notes provide an introduction to commutative al- gebra for Master 1 students, focusing on commutative rings, ideals, and modules. The course explores essential topics such as prime and maximal ideals, localization, Noetherian rings, and Hilbert’s Null- stellensatz. We will also discuss concepts like primary decomposition and integral closures. The goal is to equip students with a strong foundation in commutative algebra and its connections to algebraic geometry, number theory, and topology.
dc.identifier.citationHacen, ZELACI .Commutative Algebra.Mathématiques . Faculté des Sciences Exactes.2025. Université d'El Oued
dc.identifier.urihttps://archives.univ-eloued.dz/handle/123456789/39450
dc.language.isofr
dc.publisherUniversité of eloued جامعة الوادي
dc.subjectCommutative algebra
dc.subjectcommutative rings
dc.subjectideals
dc.subjectmodules
dc.subjectNoetherian rings
dc.subjectlocalization
dc.subjectHilbert’s Nullstellensatz
dc.subjectal- gebraic geometry
dc.subjectalgebraic number theory
dc.subjecttopology
dc.subjectprimary de- composition
dc.subjectintegral closures
dc.subjectgraded rings.
dc.titleCommutative Algebra
dc.typeLearning Object

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