M6520 Algebra IV

Faculty of Science
Spring 2002
Extent and Intensity
2/1/0. 4 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
Mgr. Michal Bulant, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Radan Kučera, DSc.
Timetable of Seminar Groups
M6520/01: No timetable has been entered into IS. M. Bulant
M6520/02: No timetable has been entered into IS. M. Bulant
M6520/03: No timetable has been entered into IS. M. Bulant
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Divisibility in integral domains: unique factorization domains, principle ideal domains, euclidean domains. Divisibility in Z: primes, unique decomposition into product of primes, greatest common divisor, least common multiple, Euclid's algorithm. Congruence, linear congruences in one variable, Chinese remainder theorem, Fermat and Euler theorems, primitive roots. Quadratic residues, Legendre symbol, quadratic reciprocity law. Linear diophantine equations, some elementary methods for solving special types of diophantine equations.
Literature
  • HERMAN, Jiří, Radan KUČERA and Jaromír ŠIMŠA. Metody řešení matematických úloh I. 2., přeprac. vyd. Brno: Masarykova univerzita, 1996, 278 s. ISBN 80-210-1202-1. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Masarykova univerzita, 1993, 145 s. ISBN 8021008164. info
Bookmarks
https://is.muni.cz/ln/tag/PříF:M6520!
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
Teacher's information
http://www.math.muni.cz/~bulik/vyuka/Algebra-IV/
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2000, Spring 2001, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020.
  • Enrolment Statistics (Spring 2002, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2002/M6520