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Binary Systems

Class at Faculty of Mathematics and Physics |
NMAG440

Syllabus

1. Semigroups

Green theory

Regularity

Inverse semigroups (Vagner-Preston theorem, congruences) 2. Quasigroups and loops

Basic infrastructure and constructions, isotopy

Weakly associative loops 3. Medial and selfdistributive grupoids

Annotation

Introduction to structural properties of some classes of binary algebras - quasigroups, loops, semigroups, medial and self-distributive groupoids.