‎In this work the notion of a bornological linearly topologized mo\-dule over a discrete valuation ring is introduced and it is shown that certain semimetrizable linearly topologized modules are bornological‎. ‎The main result is a characterization of bornol More
‎In this work the notion of a bornological linearly topologized mo\-dule over a discrete valuation ring is introduced and it is shown that certain semimetrizable linearly topologized modules are bornological‎. ‎The main result is a characterization of bornological linearly topologized modules‎, ‎from which the completeness and the quasi-completeness of certain linearly topologized modules of continuous linear mappings are derived.
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‎The Mackey topology in the context of Hausdorff linearly topologized modules over a complete discrete valuation ring is introduced and characterizations of this concept are established‎. ‎Moreover the interplay between the concept of Mackey topology and two More
‎The Mackey topology in the context of Hausdorff linearly topologized modules over a complete discrete valuation ring is introduced and characterizations of this concept are established‎. ‎Moreover the interplay between the concept of Mackey topology and two special classes of linearly topologized modules is discussed‎.
Manuscript profile
