A Survey of f-Rings and Some of their Generalizations

C- and C*-quotients in pointfree topology

“…[14], [17], and [1] are fine general references on f -rings, among other topics, but the reader interested in additional background should overlook neither Henriksen's masterful survey [21] nor Banaschewski's elegant expository paper [8]. The latter is particularly close to the spirit of this article.…”

Finite-dimensional ℓ-simple lattice-ordered algebras with a d-basis

“…In an effort to obtain the algebraic structure of general lattice-ordered rings ( -rings) that contain some important examples of -rings, M. Henriksen posed the problem of developing a structure theory for a class of -rings that includes semigroup -algebras over R ordered coordinatewise [3,Problem 4], where R is the field of real numbers. The class of lattice-ordered algebras ( -algebras) over a totally ordered field with a distributive basis (d-basis) was studied by the present author to obtain the structure of general -algebras.…”

Finite-dimensional lattice-ordered algebras with d-elements

“…Since then f -rings have been extensively studied. For research activities in f -rings, the reader is referred to the survey paper by M. Henriksen [4].…”