06689 - Commutative Algebra

Academic Year 2023/2024

  • Moduli: Alessandro D'Andrea (Modulo 1) Roberto Pagaria (Modulo 2)
  • Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
  • Campus: Bologna
  • Corso: Second cycle degree programme (LM) in Mathematics (cod. 5827)

Readings/Bibliography

M. F. Atiyah, I. G. Macdonald. Introduction to Commutative Algebra. Addison-Wesley Publishing Company, Reading Massachusetts, 1969.

Altman, Allen & Kleiman, Steven. (2013). A term of Commutative Algebra (https://www.mi.fu-berlin.de/en/math/groups/arithmetic_geometry/teaching/exercises/Altman_-Kleiman---A-term-of-commutative-algebra-_2017_.pdf ).

A. Gathmann (2013). Commutative algebra (https://agag-gathmann.math.rptu.de/class/commalg-2013/commalg-2013.pdf ).

A. Bandini, P. Gianni, E. Sbarra. Esercizi di Algebra commutativa, Pisa University Press, 2022.

Inoltre,

D.G.Northcott: Ideal Theory Cambridge University Press, Cambridge 1953

D.Cox - J.Little - D.O'Shea: Ideals, Varieties and Algorithms. 4th Ed. Undergraduate Texts in Mathematics. Springer Verlag, New York 2007

Teaching methods

Chalk and blackboard. Groupwork. Office hours.

Assessment methods

Take home exam at the end of term.

Written and oral exam.

Teaching tools

Blackboards, printed handouts. Possible use of algebraic symbolic computation software.

Office hours

See the website of Alessandro D'Andrea

See the website of Roberto Pagaria