Abstract
The semiring of topologizing filters of a ring has a more amenable description in terms of increasing functions on the lattice of (one sided) ideals.
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Simmons, H. The semiring of topologizing filters of a ring. Israel J. Math. 61, 271–284 (1988). https://doi.org/10.1007/BF02772572
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DOI: https://doi.org/10.1007/BF02772572