|
| << previous | next >> |
Journal description
All volumes of the corresponding journal
All issues of the corresponding volume
All articles of the corresponding issues
Details for article 16 of 22 found articles
| Title: |
On the lattice of linear module topologies |
| Author: |
Dikranjan, Dikran Tonolo, Alberto |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 21 (1993) nr. 1 pages 275-298 |
| Year: |
1993 |
| Contents: |
We study various features of the lattice LM of linear module topologies on a module M and their impact on the structure of the abstract module. A particular emphasis is given to: a) permanence properties of 1- minimal topologies (=atoms in the subset of LM of Hausdorff topologies) in analogy with the theory of minimal topological groups; b) the usual equivalence between linear topologies and the equivalence classes of the atoms; c) characterization of the abstract modules M such that certain classes in LM are singletons (in particular, modules such that each non-discrete linear topology is topologically artinian). Point c) involves the class of modules having all proper quotients artinian. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 16 of 22 found articles
| << previous | next >> |