On hollowness in multiplicative lattices
Abstract
Abstract We extend strongly hollow and completely strongly hollow ideals from commutative rings to multiplicative lattices. We characterize these elements through residuals and localizations at maximal elements, and study them in semisimple, Gelfand, Prüfer, and weak r -lattices. Applications include criteria for quasi-locality, descriptions in weak Noether lattices, and representations of multiplicative lattices by completely strongly hollow elements.
Fields of Study & Subjects
Advanced Algebra and Logic
Rings
Modules
and Algebras
Fuzzy and Soft Set Theory
Publication details
- Journal / source
- Algebra Universalis
- Volume
- 87
- Issue
- 4
- Publication date
- 7 August 2026
- Language
- EN