Title of article
Bornological linearly topologized modules over a discrete valuation ring
Author/Authors
Pombo Jr. ، D. P. Instituto de Matem´atica e Estatıstica - Universidade Federal Fluminense, Campus do Gragoatá
From page
123
To page
128
Abstract
In this work the notion of a bornological linearly topologized module 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.
Keywords
Discrete valuation rings , linearly topologized modules , continuity of linear mappings
Journal title
Journal of Linear and Topological Algebra
Journal title
Journal of Linear and Topological Algebra
Record number
2725570
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