ALTERNATIVE PROOF OF HILBERT BASIS THEOREM

ALTERNATIVE PROOF OF HILBERT BASIS THEOREM

Hilbert Basis theorem was proven by direct proof in Samuel and Zariski. This direct proof is using maximum condition and finite basis condition. The alternative proof which will be discussed rigorously in this project is an indirect proof written by Caruth. Homomorphism theorem and Zorn lemma is nee...

Full description

Saved in:
Bibliographic Details
Main Author: MESYA (NIM: 20107077), ADI
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/11734
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:11734
spelling id-itb.:117342017-09-27T14:41:44ZALTERNATIVE PROOF OF HILBERT BASIS THEOREM MESYA (NIM: 20107077), ADI Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/11734 Hilbert Basis theorem was proven by direct proof in Samuel and Zariski. This direct proof is using maximum condition and finite basis condition. The alternative proof which will be discussed rigorously in this project is an indirect proof written by Caruth. Homomorphism theorem and Zorn lemma is needed in this indirect proof. Zorn lemma gives a fact that in a non-Noether ring under inclusive relation, the ideal set which not generated finitely has maximal element. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description Hilbert Basis theorem was proven by direct proof in Samuel and Zariski. This direct proof is using maximum condition and finite basis condition. The alternative proof which will be discussed rigorously in this project is an indirect proof written by Caruth. Homomorphism theorem and Zorn lemma is needed in this indirect proof. Zorn lemma gives a fact that in a non-Noether ring under inclusive relation, the ideal set which not generated finitely has maximal element.
format Theses
author MESYA (NIM: 20107077), ADI
spellingShingle MESYA (NIM: 20107077), ADI
ALTERNATIVE PROOF OF HILBERT BASIS THEOREM
author_facet MESYA (NIM: 20107077), ADI
author_sort MESYA (NIM: 20107077), ADI
title ALTERNATIVE PROOF OF HILBERT BASIS THEOREM
title_short ALTERNATIVE PROOF OF HILBERT BASIS THEOREM
title_full ALTERNATIVE PROOF OF HILBERT BASIS THEOREM
title_fullStr ALTERNATIVE PROOF OF HILBERT BASIS THEOREM
title_full_unstemmed ALTERNATIVE PROOF OF HILBERT BASIS THEOREM
title_sort alternative proof of hilbert basis theorem
url https://digilib.itb.ac.id/gdl/view/11734
_version_ 1820728296788197376

Similar Items