Intermediate Semigroups are Groups

Abstract

We consider the lattice of subsemigroups of the general linear group over an Artinian ring containing the group of diagonal matrices and show that every such semigroup is actually a group.

Plain TeX, 6 pages; final version accepted for publication in Semigroup Forum

References in corpus (2)

• Galois Theory for a Class of Modular Lattices
• Galois Theory for a Class of Complete Modular Lattices