Topological dense subsets of a ring
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie/South African Journal of Science and Technology
| Field | Value | |
| Title | Topological dense subsets of a ring Topologiese digte deelversamelings van ’n ring | |
| Creator | Veldsman, S. | |
| Description | Some properties of this topology are discussed. Amongst others, it is shown that proper closed ideals is more an exception than a rule. This topology is not compatible with separation: A ring is T0 if and only if (a) = (b) implies a = b and T1 if and only if it is discrete. The discrete rings are completely characterized and it is shown that a homomorphism is continuous if and only if the kernel is a closed ideal. Enkeie eienskappe van hierdie topologie word bespreek. Onder andere word aangetoon dat egte geslote ideate die uitsondering eerder as die reel is. Hierdie topologie is nie versoenbaar met skeiding nie: ’n Ring is T0 as en slegs as (a) = (b) impliseer a = b en T1 as en slegs as dit diskreet is. Die diskrete ringe word volledig gekarakteriseer en daar word aangetoon dat ’n homomorfie kontinu is as en slegs as die kern ’n geslote ideaal is. | |
| Publisher | AOSIS | |
| Date | 1986-03-18 | |
| Identifier | 10.4102/satnt.v5i4.996 | |
| Source | Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 5, No 4 (1986); 178-180 Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 5, No 4 (1986); 178-180 2222-4173 0254-3486 | |
| Language | eng | |
| Relation |
The following web links (URLs) may trigger a file download or direct you to an alternative webpage to gain access to a publication file format of the published article:
https://journals.satnt.aosis.co.za/index.php/satnt/article/view/996/2061
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