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Abelian Groups in a Topos of Sheaves : Torsion and Essential Extensions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bhutani, Kiran R. |
| Copyright Year | 2004 |
| Abstract | We investigate the properties of torsion groups and their essential extensions in the category AbShL of Abellan groups in a topos of sheaves on a locale. We show that every torsion group is a direct sum of its p-prlmary components and for a torsion group A, the group [A,B] is reduced for any BeAbShL.. We give an example to show that in AbShL the torsion subgroup of an inJectlve group need not be inJectlve. Further we prove that if the locale is Boolean or finite then essential extensions of torsion groups are torsion. Finally we show that for a first countable hausdorff space X essential extensions of torsion groups in AbSh0(X) are torsion iff X |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.maths.tcd.ie/EMIS/journals/HOA/IJMMS/Volume12_1/272468.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Boolean Hausdorff dimension Subgroup A Nepoviruses Torsion (gastropod) |
| Content Type | Text |
| Resource Type | Article |
