Generalized adjoint semigroups of a ring.
Generalized radical rings, unknotted biquandles, and quantum groups
Generalized radical rings (braces) were introduced for the study of set-theoretical solutions of the quantum Yang-Baxter equation. We discuss their relationship to groups of I-type, virtual knot theory, and quantum groups.
Gorenstein tiled orders with hereditary ring of multipliers of Jacobson radical.