These are things named after Emil Artin, a mathematician.
Ankeny–Artin–Chowla congruence
Artin algebra
Artin billiards
Artin braid group
Artin character
Artin conductor
Artin's conjecture for conjectures by Artin. These include
Artin's conjecture on primitive roots
Artin conjecture on L-functions
Artin group
Artin–Hasse exponential
Artin L-function
Artin reciprocity
Artin–Rees lemma
Artin representation
Artin–Schreier theory
Artin–Wedderburn theorem
Artin–Zorn theorem
Artinian ideal
Artinian module
Artinian ring
Emil Artin Junior Prize in Mathematics