Document Type

Article

Department

Mathematics (HMC)

Publication Date

1976

Abstract

We prove a generalization of Luh's result without using Dirichlet's Theorem. We then use Theorem 1 to show that the J-subrings of a periodic ring form a lattice with respect to join and intersection (the join of two subrings is the smallest subring containing both of them). After noting that every J-ring has nonzero characteristic, we determine for which positive integers n and m there exist J-rings of period n and characteristic m. This generalizes a problem posed by G. Wene.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/irw,472.

Publisher pdf, posted with permission.

Rights Information

© 1976 Mathematical Association of America

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Download

Included in

Mathematics Commons

Share

COinS