# Ganna Kudryavtseva: Multipolgrupe (Multisemigroups)

Date: 19. 11. 2012

Source: Algebra seminar

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.