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Proseminar on Comutative Rings - NMAG361

Title:	Proseminář z komutativních okruhů
Guaranteed by:	Department of Algebra (32-KA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2013 to 2017
Semester:	winter
E-Credits:	2
Hours per week, examination:	winter s.:0/2, C [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	doc. Mgr. Pavel Růžička, Ph.D.
Class:	M Bc. MMIB M Bc. MMIB > Doporučené volitelné
Classification:	Mathematics > Algebra

Annotation -

Last update: G_M (15.05.2012)

An elective proseminar for specialization Mathematical structures within General Mathematics.

Literature -

Last update: doc. Mgr. Pavel Růžička, Ph.D. (10.10.2017)

M. F. Atiah, I.G. Macdonald, Introduction to Commutative Algebra, Addison Wesley, 1969.

I. Stewart, Galois Theory, third edition, A CRC Press Company, 2004

Syllabus -

Last update: doc. Mgr. Pavel Růžička, Ph.D. (10.10.2017)

1) Integral domains.

2) Ideals and operations on ideals.

3) Modules over principal ideal domains.

4) Fields and Galois theory.

5) Integrally closed domains.

6) Dedekind domains.