Maximal Normal Orthogroups in Rings Containing No Infinite Semilattices
Communications in Algebra
Completely regular semigroups, Multiplicative semigroups of ring, Orthogroups
Let R be a ring regarded as a multiplicative semigroup which contains no infinite subsemilattices. We investigate subsemigroups of R which are normal orthogroups, and present a construction from which all such maximal normal orthogroups can be obtained. In particular, we construct all maximal normal orthogroups of matrices over a field under matrix multiplication.
Lee, Edmond W. H., "Maximal Normal Orthogroups in Rings Containing No Infinite Semilattices" (2006). Mathematics Faculty Articles. 146.