Commutative L*-rings II

Abstract

It is shown that for several important classes of commutative rings, L* and O* are equivalent. In particular, a commutative artinian ring is L* if and only if it is O*. More examples of O*-fields are provided.

Mathematics Subject Classification (2010): Primary 06F25.

Keywords: Lattice order, partial order, regular division closed, total order, F*-ring,
L*-ring, O*-ring