Graduate Students Seminar- Homology theory for Bol-Moufang quasigroup

Date: October 3rd (Friday) 1-2 pm

Location: Phillips Hall 109

Speaker: Anthony Christinana, GWU

Title:  Homology theory for Bol-Moufang quasigroup

Abstract: Bol-Moufang quasigroups are quasigroups with an additional equational relation called a Bol-Moufang identity. Though there are 60 Bol-Moufang identities, Bol-Moufang quasigroups were shown to be partitioned into just 26 varieties. In this work, we introduce a homology theory for Bol-Moufang quasigroups based on the theory of quasigroup extensions. Recently, we proved that Bol-Moufang Homology is invariant under the choice of defining relation; that is, it depends only on the variety of quasigroup.

Graduate Student Seminar is mandatory for all math graduate students.