The algebraic properties of the ℱ-limit
In this article, we investigate various algebraic properties of the ℱ-limit, where ℱ is a filter on the set of natural numbers ℕ. More precisely, we study its behavior under ideal-theoretic operations, as well as its interaction with structural properties of commutative rings and its connection to the ultraproduct construction.
Authors
- Hassan Mouadi (ORCID: https://orcid.org/0000-0001-8661-6241)
- Driss Karim
- Ayoub Oudika
Publication Details
- Journal
- Asian-European Journal of Mathematics
- Published
- 2026-09-11
- DOI
- https://doi.org/10.1142/s179355712650124x
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00