Page 1

Displaying 1 – 9 of 9

Showing per page

Arens regularity of lattice-ordered rings

Karim Boulabiar, Jamel Jabeur (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

This work discusses the problem of Arens regularity of a lattice-ordered ring. In this prospect, a counterexample is furnished to show that without extra conditions, a lattice-ordered ring need not be Arens regular. However, as shown in this paper, it turns out that any f -ring in the sense of Birkhoff and Pierce is Arens regular. This result is then used and extended to the more general setting of almost f -rings introduced again by Birkhoff.

Currently displaying 1 – 9 of 9

Page 1