Affine monoids of corank one
arXiv:2312.08316 · doi:10.1007/s00025-024-02254-9
Abstract
We give a classification of noncommutative algebraic monoid structures on normal affine varieties such that the group of invertible elements of the monoid is connected, solvable, and has a one-dimensional unipotent radical. We describe the set of idempotents and the center of such a monoid and give a criterion for existence of the zero element.
23 pages, minor corrections