SUPERIOR ALGEBRA
Academic Year 2016/2017 - 2° Year - Curriculum A
Teaching Staff: Alfio Ragusa
Credit Value: 9
Scientific field: MAT/02 - Algebra
Taught classes: 72 hours
Term / Semester: 1°
Credit Value: 9
Scientific field: MAT/02 - Algebra
Taught classes: 72 hours
Term / Semester: 1°
Learning Objectives
Aim of the course is to give an algebraic knowledg of a medium high level both for knowing complex problems of an algebraic type or to give a scientific equipment propaedeutics to scientific research in the field of Commutative Algebra and Algebraic Geometry.
Detailed Course Content
Teory of modules, questions on Homological Algebra, Tor ed Ext, Exactness criterion, free resolutions, minimal free resolutions, applications (Hilbert, Burch, Buchsbaum-Eisenbud Theorems, Hilbert functions and Betti numbers).
Textbook Information
We will us notes by the teacher which will be available by the students of the course.
Alcuni argomenti si potranno trovare sul testo: D. Eisenbud, Commutative Algebra: With a View Toward Algebraic Geometry