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Better translation (matches Dutch) and strike through “doesn’t seem to be online”.

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edited May 3, 2021 at 19:36

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I think it is indeed van der Waerden, but in the earlier paper [1926], where he sounds just like one does when introducing terminology: translated from p. 143,

the proposition in question is an almost immediate consequence of two fundamental propositions of HILBERT, which can be describedreferred to as HILBERT’s Nullstellensatz and HILBERT’s Basissatz.

An extra twist is that this all ‘presumably’presumably first appeared in Dutchin Dutch, in a first version [1925] of the paper that would be interesting to find and check; it doesn’t seem to be onlinecheck~~; it doesn’t seem to be online~~.

[1926] van der Waerden, B. L., Ein algebraisches Kriterium für die Lösbarkeit eines Systems homogener Gleichungen., Proceedings Amsterdam 29, 142-149 (1926). ZBL52.0125.01.
[1925] Van der Waerden, B. L., Een algebraies kriterium voor de oplosbaarheid van een stelsel homogene vergelijkingen., Verslag Amsterdam 34, 1123-1130 (1925). ZBL51.0092.05.

I think it is indeed van der Waerden, but in the earlier paper [1926], where he sounds just like one does when introducing terminology: translated from p. 143,

the proposition in question is an almost immediate consequence of two fundamental propositions of HILBERT, which can be described as HILBERT’s Nullstellensatz and HILBERT’s Basissatz.

An extra twist is that this all ‘presumably’ first appeared in Dutch, in a first version [1925] of the paper that would be interesting to find and check; it doesn’t seem to be online.

[1926] van der Waerden, B. L., Ein algebraisches Kriterium für die Lösbarkeit eines Systems homogener Gleichungen., Proceedings Amsterdam 29, 142-149 (1926). ZBL52.0125.01.
[1925] Van der Waerden, B. L., Een algebraies kriterium voor de oplosbaarheid van een stelsel homogene vergelijkingen., Verslag Amsterdam 34, 1123-1130 (1925). ZBL51.0092.05.

I think it is indeed van der Waerden, but in the earlier paper [1926], where he sounds just like one does when introducing terminology: translated from p. 143,

the proposition in question is an almost immediate consequence of two fundamental propositions of HILBERT, which can be referred to as HILBERT’s Nullstellensatz and HILBERT’s Basissatz.

An extra twist is that this all presumably first appeared in Dutch, in a first version [1925] of the paper that would be interesting to find and check~~; it doesn’t seem to be online~~.

[1926] van der Waerden, B. L., Ein algebraisches Kriterium für die Lösbarkeit eines Systems homogener Gleichungen., Proceedings Amsterdam 29, 142-149 (1926). ZBL52.0125.01.
[1925] Van der Waerden, B. L., Een algebraies kriterium voor de oplosbaarheid van een stelsel homogene vergelijkingen., Verslag Amsterdam 34, 1123-1130 (1925). ZBL51.0092.05.

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created May 2, 2021 at 16:12

Francois Ziegler

31.5k
6
121
176

I think it is indeed van der Waerden, but in the earlier paper [1926], where he sounds just like one does when introducing terminology: translated from p. 143,

the proposition in question is an almost immediate consequence of two fundamental propositions of HILBERT, which can be described as HILBERT’s Nullstellensatz and HILBERT’s Basissatz.

An extra twist is that this all ‘presumably’ first appeared in Dutch, in a first version [1925] of the paper that would be interesting to find and check; it doesn’t seem to be online.

[1926] van der Waerden, B. L., Ein algebraisches Kriterium für die Lösbarkeit eines Systems homogener Gleichungen., Proceedings Amsterdam 29, 142-149 (1926). ZBL52.0125.01.
[1925] Van der Waerden, B. L., Een algebraies kriterium voor de oplosbaarheid van een stelsel homogene vergelijkingen., Verslag Amsterdam 34, 1123-1130 (1925). ZBL51.0092.05.