3 papers
math.GR2026
The Inverse Monoid of Partial Inner Automorphisms of a Semigroup
João Araújo, Wolfram Bentz, Michael Kinyon +2
We introduce the inverse monoid of inner partial automorphisms of a semigroup -- a tool that associates to every semigroup an inverse semigroup. When the semigroup is a group, this…
math.RA2026
Rings with finitely many zero divisors
Michael Kinyon
We give an elementary proof of a result which is not as well known as it should be: a ring with a specified finite number of zero divisors is finite, with a precise bound on its or…
math.RA2026
Elementary proofs of ring commutativity theorems
Michael Kinyon, Desmond MacHale
Jacobson's commutativity theorem says that a ring is commutative if, for each , for some . Herstein's generalization says that the condition can be weakened to…