Specialized Topics in Algebra (ΑΛ6)
Από Wiki Τμήματος Μαθηματικών
Αναθεώρηση ως προς 16:28, 15 Ιουνίου 2023 από τον Mathwikiadmin (συζήτηση | συνεισφορές)
- Ελληνική Έκδοση
- Graduate Courses Outlines
- Outline Modification (available only for faculty members)
- Department of Mathematics
- Save as PDF or Print (to save as PDF, pick the corresponding option from the list of printers, located in the window which will popup)
General
| School | School of Science |
|---|---|
| Academic Unit | Department of Mathematics |
| Level of Studies | Graduate |
| Course Code | ΑΛ6 |
| Semester | 2 |
| Course Title | Specialized Topics in Algebra |
| Independent Teaching Activities | Lectures (Weekly Teaching Hours: 3, Credits: 7.5) |
| Course Type | Special Background |
| Prerequisite Courses | - |
| Language of Instruction and Examinations |
Greek |
| Is the Course Offered to Erasmus Students | Yes (in English) |
| Course Website (URL) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
Learning Outcomes
| Learning outcomes |
The aim of the course is for the postgraduate student to reach a good level of theoretical background on topics related to the theory of commutative rings. |
|---|---|
| General Competences |
The aim of the course is to empower the postgraduate student to analyse and compose basic notions of Commutative Algebra. |
Syllabus
Topics of Commutative and Combinatorial Algebra: Hilbert's Basis theorem, Primary Decomposition, Localization, Dimension, Hilbert Series, Groebner Bases, Simplicial complexes and homology, Stanley-Reisner ideals, Hilbert's Nullstellensatz theorem.
Teaching and Learning Methods - Evaluation
| Delivery |
Face to face | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Use of Information and Communications Technology | - | ||||||||||
| Teaching Methods |
| ||||||||||
| Student Performance Evaluation |
Written exam at the end of semester (obligatory), problem solving or/and intermediate exams (optional) |
Attached Bibliography
- Μαλιάκας Μιχάλης, Εισαγωγή στην Μεταθετική Άλεβρα, Εκδόσεις Σοφία, 2008
- Atiyah, M. F.; Macdonald, I. G., Introduction to commutative algebra. Addison-Wesley Publishing Co., 1969 ix+128 pp.