It is an introductory course on commutative algebra, based on the book of M. F. Atiyah and I. G. Macdonald, titled ?Introduction to commutative algebra?. This course aims to cover the following topics. 1. Rings and ideals 2. Rings and Modules of fractions 3. Primary decomposition 4. Integral Dependence and valuations 5. Noether Normalization 6. Chain conditions 7. Noetherian and Artinian rings 8. The Nullstellensatz and Spec of a ring 9. Zariski topology on Spec of a ring 10. Graded rings and modules 11. Dimension theory
Commutative Algebra -1 (MATH 546)
2022 Fall
Faculty of Engineering and Natural Sciences
Mathematics(MATH)
3
10.00
Ayesha Asloob Qureshi -aqureshi@sabanciuniv.edu,
English
Doctoral, Master
--
Formal lecture
Interactive,Project based learning
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| MA-European Studies | |||
| MA-European Studies-Non Thesis | |||
| MA-Political Science | |||
| MA-Political Science-Non Thes | |||
| MA-Visual Arts&Vis. Com Des-NT | |||
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| MS-Bio. Sci. & Bioeng. LFI | |||
| MS-Bio. Sci. & Bioeng. LFI-ENG | |||
| MS-Biological Sci&Bioeng. | * | ||
| MS-Computer Sci.&Eng. LFI | |||
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| MS-Computer Science and Eng. | * | ||
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| MS-Data Science | |||
| MS-Elec. Eng&Comp Sc.LFI-ENG | |||
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| MS-Electronics Eng&Computer Sc | * | ||
| MS-Electronics Eng. | * | ||
| MS-Electronics Eng. LFI | |||
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| MS-Manufacturing Eng-Non Thes | * | ||
| MS-Manufacturing Engineering | * | ||
| MS-Materials Sci & Engineering | * | ||
| MS-Materials Sci. & Eng. LFI | |||
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| MS-Mechatronics | * | ||
| MS-Mechatronics LFI | |||
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| MS-Physics | |||
| MS-Physics-Non Thesis | * | ||
| MS-Psychology | |||
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| PHD-Biological Sci&Bioeng. | * | ||
| PHD-Comp. Sci and Eng.after UG | * | ||
| PHD-Computer Science and Eng. | * | ||
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| PHD-Electronics Eng&ComputerSc | * | ||
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| PHD-Materials Sci.&Engineering | * | ||
| PHD-Mathematics | |||
| PHD-Mechatronics | * | ||
| PHD-Mechatronics after UG | * | ||
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| PHDBIO after UG | * | ||
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| PHDEPSY after UG | |||
| PHDIE after UG | * | ||
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CONTENT
OBJECTIVE
To understand the basics of commutative ring theory
Update Date:
ASSESSMENT METHODS and CRITERIA
| Percentage (%) | |
| Final | 40 |
| Midterm | 40 |
| Exam | 20 |
RECOMENDED or REQUIRED READINGS
| Textbook |
Introduction to Commutative Algebra by Michael Atiyah and I. G. Macdonald |