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Ganna Kudryavtseva: Multipolgrupe (Multisemigroups)

Date: 19. 11. 2012
Source: Algebra seminar
Sreda, 21. novembra 2012, ob 10. uri v Plemljevem seminarju, Jadranska 19/III, Ljubljana
Multisemigroups are generalizations of semigroups where multiplication is multivalued. They arise in various mathematical situations, for example, multisemigroups of positive bases of associative algebras or multisemigroups of ultrafilters of monoids. We present many examples and constructions of multisemigroups. We discuss similarities and differences between multisemigroups and classical semigroups. A particular focus will be on the structure of multisemigroup analogues of simple semiproups. The talk is based on a joint work with Volodymyr Mazorchuk.