## 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| ≤ x^{2} for some x ∈ A such that x^{2} ∈ 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.

## Original Publication Citation

Larson, S. *Pseudoprime L-Ideals in a Class of F-Rings,* Proceedings of the American Mathematical Society. vol. 104 (1988) pp. 685-692.

## Publisher Statement

First published in Proceedings of the American Mathematical Society in 1988, published by the American Mathematical Society

## Digital Commons @ LMU & LLS Citation

Larson, Suzanne, "Pseudoprime L-Ideals in a Class of F-Rings" (1988). *Mathematics, Statistics and Data Science Faculty Works*. 10.

https://digitalcommons.lmu.edu/math_fac/10