The group ring of Richard Thompson’s Group has no minimal non-zero ideals
We use a total order on Thompson’s group to show that the group ring has no minimal non-zero ideals.
The lattice of solid -subgroups of a retractable group
The Levitzki Radical for Omega-groups
The Levitzki radical for -groups.
The local integration of Leibniz algebras
This article gives a local answer to the coquecigrue problem for Leibniz algebras, that is, the problem of finding a generalization of the (Lie) group structure such that Leibniz algebras are the corresponding tangent algebra structure. Using links between Leibniz algebra cohomology and Lie rack cohomology, we generalize the integration of a Lie algebra into a Lie group by proving that every Leibniz algebra is isomorphic to the tangent Leibniz algebra of a local Lie rack. This article ends with...
The number of minimal varieties of idempotent groupoids
The set of hypergroups with operators which are constructed from a set with two elements