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Course syllabus BV1-ALST - Algebraic structures (FCE - SS 2018/2019)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit title: Algebraic structures
Course unit code: BV1-ALST
Mode of completion and Number of ECTS credits: Classified fulfillment of requirements (3 credits)
Name of lecturer: doc. Mgr. Gejza Jenča, PhD. (tutor) - slovak
doc. RNDr. Jana Šiagiová, PhD. (examiner, instructor, lecturer, tutor) - slovak
prof. RNDr. Jozef Širáň, DrSc. (person responsible for course)
Learning outcomes of the course unit:
Students will learn basic facts about algebraic structures, with emphasis on semigroups, groups, fields, partially ordered sets and lattices. They will be able to apply their knowledge to working with algebraic structures that appear in geometry, representations of data structures, and in other areas.
Prerequisites and co-requisites: none
Course contents:
• Basic concepts: Binary operations and their properties, semigroups and groups.
• Cyclic, abelian, dihedral, permutation and matrix groups.
• Finite fields and their applications in cryptography and coding.
• Partially ordered sets and lattices.
• Applications of partially ordered sets in representations of data structures.
Recommended or required reading:
KVASNIČKA, V. -- POSPÍCHAL, J. Algebra a diskrétna matematika. Bratislava : STU v Bratislave, 2008. 493 p. ISBN 978-80-227-2934-5.

Planned learning activities and teaching methods: Instructions type: Lectures and tutorials
Instruction volume: 1/1 - full time, 26 hours per semester
Assesment methods and criteria: graded credit
Language of instruction: Slovak
Work placement(s): There is no compulsory work placement in the course unit.

Last modification made by Ing. Marián Dubík on 02/26/2018.

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