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The algebraic properties of the ℱ-limit

Ayoub Oudika, Hassan Mouadi, Driss Karim

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Source: Crossref

Published: Sep 11, 2026

DOI: 10.1142/s179355712650124x

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Source abstract

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.

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