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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025

Commutative Algebra

The course is not on the list Without time-table
Code Completion Credits Range Language
01KOAL ZK 3 1P+1C Czech
Garant předmětu:
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Department of Mathematics
Synopsis:

1. Rings, ideals, homomorphisms, prime and maximal ideals.

2. Rings of polynomials, symmetric polynomials, irreducibility.

3. Gröbner bases.

4. Polynomials with rational coefficients, factorization of polynomials.

5. Hilbert's Nullstellensatz, ideals and manifolds, Krull dimension.

6. Fields, extensions, finite fields.

7. Introduction to Galois theory, Galois extensions, group and correspondence.

Requirements:
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Povinná literatura

1. G. Kemper: A course in commutative algebra, Springer, 2010.

2. R. Y Sharp: Steps in commutative algebra, Cambridge, 2000.

3. D. Stanovský, L. Barto: Počítačová algebra, Matfyzpress, 2017.

Doporučená literatura

4. D. Stanovský: Základy algebry, Matfyzpress 2010.

5. L. Procházka, L. Bican, T. Kepka, P. Němec: Algebra, Academia, 1990.

6. D. Eisenbud: Commutative Algebra: with a View Toward Algebraic Geometry, Springer, 2013.

Note:
Further information:
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2024-04-11
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