Document Type
Article
Publication Date
11-1988
Abstract
In a commutative f-ring, an l-ideal I is called pseudoprime if ab = 0 implies a ∈ I or b ∈ I, and is called square dominated if for every a ∈ I, |a| ≤ x2 for some x ∈ A such that x2 ∈ I. Several characterizations of pseudoprime l-ideals are given in the class of commutative semiprime f-rings in which minimal prime l-ideals are square dominated. It is shown that the hypothesis imposed on the f-rings, that minimal prime l-ideals are square dominated, cannot be omitted or generalized.
Publisher Statement
First published in Proceedings of the American Mathematical Society in 1988, published by the American Mathematical Society
Recommended Citation
Larson, S. Pseudoprime L-Ideals in a Class of F-Rings, Proceedings of the American Mathematical Society. vol. 104 (1988) pp. 685-692.
