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Lecturer(s)
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Kühr Jan, prof. RNDr. Ph.D.
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Course content
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Ordered and lattice ordered group (l-group), homomorphisms and ideals of l-groups. Convex l-subgroups, prime subgroups, regular subgroups, polars. Archimedean l-groups. Representable l-groups and normal valued l-groups. Varieties of l-groups, properties of the lattice of l-varieties.
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Learning activities and teaching methods
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Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook)
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Learning outcomes
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Understand fundamentals of the ordered groups and lattice ordered groups.
4. Analysis Analyse structures of ordered and lattice ordered groups.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Oral exam
To understand the subject and to apply it in exercises.
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Recommended literature
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Darnel M.R. (1995). Theory of Lattice-Ordered Groups. Marcel Dekker, New York-Basel-HongKong.
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Glass A.M.W. (1999). Partially Ordered Groups, World Scientific. Singapore-Nex Jersey-London-HongKong.
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Kopytov V.M.,Medvedev N.Y. (1994). The Theory of Lattice-Ordered Groups, Kluwer Acad.. Dordecht - Boston - London.
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