Universal Algebra 1 - NMAG405
Title: |
Universální algebra 1 |
Guaranteed by: |
Department of Algebra (32-KA) |
Faculty: |
Faculty of Mathematics and Physics |
Actual: |
from 2016 to 2016 |
Semester: |
winter |
E-Credits: |
5 |
Hours per week, examination: |
winter s.:2/2, C+Ex [HT] |
Capacity: |
unlimited |
Min. number of students: |
unlimited |
4EU+: |
no |
Virtual mobility / capacity: |
no |
State of the course: |
taught |
Language: |
English, Czech |
Teaching methods: |
full-time |
Teaching methods: |
full-time |
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Annotation -
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Last update: T_KA (09.05.2013)
Basic course in universal algebra.
Last update: T_KA (09.05.2013)
Základní přednáška z univerzální algebry pro obor Matematické struktury.
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Literature -
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (06.09.2013)
Clifford Bergman: Universal algebra: Fundamentals and selected topics. Chapman and Hall, 2011.
Stanley N. Burris, H. P. Sankappanavar: A course in universal algebra. Springer-Verlag, 1981.
Ralph McKenzie, George McNulty, Walter Taylor: Algebras, Lattices, Varieties, vol. 1. Wadsworth and Brooks/Cole, 1987.
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (06.09.2013)
Clifford Bergman: Universal algebra: Fundamentals and selected topics. Chapman and Hall, 2011.
Stanley N. Burris, H. P. Sankappanavar: A course in universal algebra. Springer-Verlag, 1981.
Ralph McKenzie, George McNulty, Walter Taylor: Algebras, Lattices, Varieties, vol. 1. Wadsworth and Brooks/Cole, 1987. |
Syllabus -
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (06.09.2013)
Basic notions and constructions in nniversal algebra.
Lattices.
Isomorphism theorems.
Direct and subdirect decomposition.
Varieties and equational theories.
Algebraic and relation clones.
Malcev conditions.
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (06.09.2013)
Základní pojmy a konstrukce v univerzální algebře.
Svazy.
Věty o izomorfismech.
Direktní a subdirektní rozklady.
Variety a rovnicové teorie.
Algebraické a relační klony.
Malcevské podmínky. |
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