PřF:MD143 Sem. from ordered struct. - Course Information

MD143 Seminar from ordered structures

Extent and Intensity

0/2/0. 2 credit(s). Type of Completion: z (credit).

Teacher(s)

prof. RNDr. Jan Paseka, CSc. (lecturer)

Guaranteed by

prof. RNDr. Jan Paseka, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Tue 13:00–14:50 M3,01023

Prerequisites

PROGRAM(D-MA) || PROGRAM(D-MA_) || PROGRAM(D-MAA_)
Knowledge on the level of basic courses in ordered sets and algebra. It is recommended to contact the lecturer to verify the suitability of the seminar that is oriented towards the needs of PhD students of algebra.

Course Enrolment Limitations

The course is only offered to the students of the study fields the course is directly associated with.

fields of study / plans the course is directly associated with

• Algebra, Number Theory and Mathematical Logic (programme PřF, D-MAA_)
• Algebra, Number Theory and Mathematical Logic (programme PřF, D-MA_)
• General Mathematics (programme PřF, D-MAA_)
• Geometry, Topology and Geometric Analysis (programme PřF, D-MA_)
• Geometry, Topology and Geometric Analysis (programme PřF, D-MAA_)
• Mathematical Analysis (programme PřF, D-MA_)
• Mathematical Analysis (programme PřF, D-MAA_)
• General Mathematics (programme PřF, D-MA_)
• Probability, Statistics and Mathematical Modelling (programme PřF, D-MA_)
• Probability, Statistics and Mathematical Modelling (programme PřF, D-MAA_)

Course objectives

There are studied selected topics from the theory of ordered sets. To become familiar with ordered structures as effect algebras or quantales.

Learning outcomes

The student after finishing the course will be able to use basic methods of the advanced theory of ordered structures.

Syllabus

• Effect algebras, quantales.

Literature

• DVUREČENSKIJ, Anatolij. New Trends in Quantum Structures. Bratislava: Kluwer Acad. Publ., 2000, 541 pp. ISBN 0-7923-6471-6. info
• ROSENTHAL, Kimmo I. The theory of quantaloids. 1st pub. Harlow: Longman, 1996, 147 s. ISBN 0582294401. info
• ROSENTHAL, Kimmo I. Quantales and their applications. Essex: Longman Scientific & Technical, 1990, 165 pp. Pitman Research Notes in Mathematics Series 234. ISBN 0582064236. info

Teaching methods

Seminar with lectures of participants

Assessment methods

Confirmation of an active participation.

Language of instruction

English

Further Comments

The course can also be completed outside the examination period.
The course is taught each semester.

• Enrolment Statistics (autumn 2021, recent)
  
• Permalink: https://is.muni.cz/course/sci/autumn2021/MD143