Abstract
An ℓ-ideal I of a commutative lattice-ordered ring R with positive identity element is called a pure ℓ-ideal if R = I + ℓ( x ) for each x ∈ I , where ℓ(x) is the ℓ-annihilator of x in R . In this article, we give some results on pure ℓ-ideals and study the ℓ-ideal structure of a commutative lattice-ordered ring with positive identity element by using pure ℓ-ideals.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
