Primitiewe elemente vir kommutatiewe ringuitbreidings
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie/South African Journal of Science and Technology
Field | Value | |
Title | Primitiewe elemente vir kommutatiewe ringuitbreidings Primitive elements for commutative ring extensions | |
Creator | Schutte, H. J. | |
Description | Die bestaan van primitiewe elemente vir integriteitsgebiede word behandel met verwysing na die alombekende stelling oor primitiewe elemente vir uitbreidings van liggame. Primitiewe elemente vir uitbreidings van n kommutatiewe ring R. met eenheidselement, word vervolgens beskou waar R slegs eindig veel minimale priemideale het waarvan die deursnede md is. Hierdie geval word gereduseer na uitbreidings van integriteitsgebiede. The existence of primitive elements for integral domain extensions is considered with reference to the well known theorem about primitive elements for field extensions. Primitive elements for extensions of a commutative ring R with identity are considered, where R has only a finite number of minimal prime ideals with zero intersection. This case is reduced to the case for ring extensions of integral domains. | |
Publisher | AOSIS | |
Date | 1991-07-08 | |
Identifier | 10.4102/satnt.v10i2.489 | |
Source | Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 10, No 2 (1991); 67-71 Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 10, No 2 (1991); 67-71 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/489/875
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