M6520 Algebra 2

Faculty of Science
Spring 2003
Extent and Intensity
2/2/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
Mgr. Michal Bulant, Ph.D. (lecturer)
prof. RNDr. Radan Kučera, DSc. (seminar tutor)
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. R. Kučera
Prerequisites
Algebra 1
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
Syllabus
  • Ideals of rings (notions principal ideal, prime ideal, maximal ideal).
  • Quotient rings. Divisibility in the integral domains.
  • Elementary number theory (prime numbers, congruences, Fermat theorem, Euler theorem).
  • Congruences in one variable (linear congruences, algebraic congruences, primitive root). Quadratic congruences, Legendre symbol, quadratic reciprocity law.
  • Diophantine equations (linear diophantine equations, elementary methods for solving of some special-type diophantine equations).
Bookmarks
https://is.muni.cz/ln/tag/PříF:M6520!
Language of instruction
Czech
Follow-Up Courses
Further Comments
Study Materials
The course is taught annually.
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 2002, 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 2003, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2003/M6520