Document Type
Article
Department
Mathematics (HMC)
Publication Date
1982
Abstract
If B is a ring (or module), and K is an ideal (or submodule) of B, let B(K) = {(a,b) є B x B:a-b є K}. The relationship between ideals (or submodules) of B and those of B(K) is examined carefully, and this construction is used to find a lattice-ordered subring of the ring C(R) of all continuous real-valued functions on the real line R with two z-ideals whose sum is not even semiprime.
Rights Information
© 1982 Heldermann Verlag
Recommended Citation
Henriksen, M.; Smith, F. A. Sums of z-ideals and semiprime ideals. General topology and its relations to modern analysis and algebra, V (Prague, 1981), 272–278, Sigma Ser. Pure Math., 3, Heldermann, Berlin, 1982.
