The main goal is to present a general approach which allows to embed lattices (with particular properties) into substructure lattices of particular structures. As application, lattice universality of several classes of semigroups will be established and we will describe lattices that embed into subsemigroup lattices of nilpotent and free semigroups. This course will be presented in English.
Last update: G_M (13.06.2006)
Hlavním cílem je seznámit posluchače s metodou, která umožňuje vnořovat svazy (s danými vlastnostmi) do svazů podstruktur daného typu. Jako aplikaci dokážeme svazovou universalitu některých tříd pologrup a popíšeme svazy vnořitelné do nilpotentních a volných pologrup. Předmět bude vyučován anglicky.
Literature - Czech
Last update: G_M (13.06.2006)
časopisecká dle pokynů přednášejícího
Syllabus -
Last update: G_M (13.06.2006)
Lattices and associated colored forests, finite lower bounded lattices, subsemigroup lattices. Universal classes of semigroups. Nilpotent semigroups and their subsemigroups lattices, subsemigroup lattices of finite semigroups. Suborder lattices. Free semigroups and their subsemigroup lattices. Semilattices whose Hasse diagrams are trees.
Last update: G_M (13.06.2006)
Lattices and associated colored forests, finite lower bounded lattices, subsemigroup lattices. Universal classes of semigroups. Nilpotent semigroups and their subsemigroups lattices, subsemigroup lattices of finite semigroups. Suborder lattices. Free semigroups and their subsemigroup lattices. Semilattices whose Hasse diagrams are trees.
