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Rationals with exotic convergences. II. (English) Zbl 0776.54029
This is the continuation of an earlier paper [ibid. 39, No. 2, 141-147 (1989; Zbl 0678.54001)] investigating compatible sequential convergence structures on the group (ring) \(\mathbb{Q}\) of rational numbers which are coarser than the usual metric convergences for \(\mathbb{Q}\). This study includes group convergences of bounded sequences of rational numbers, unbounded group convergences in \(\mathbb{Q}\), and ring convergences, especially in the field of algebraic numbers in connection with its transcendental extensions.
Reviewer: D.C.Kent (Pullman)

MSC:
54H13 Topological fields, rings, etc. (topological aspects)
12J99 Topological fields
13J99 Topological rings and modules
22A99 Topological and differentiable algebraic systems
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References:
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