Emanuel Lasker, Max Noether, and Emmy Noether

Question

In 1900, Emanuel Lasker (world chess champion from 1894 to 1921) received his Ph.D. under Max Noether. In 1905, Lasker published a theorem that Emmy Noether generalized in 1921, now well known as the Lasker-Noether theorem. Aside from official papers related to Lasker's dissertation, do there exist records, correspondence, or anecdotes that involve Lasker's connections to either Max Noether or his daughter?

Answer 1

I'm a chess player and I read various books on and by Emanuel Lasker (he's in my pic!). In none of them, including the biographies by J. Hannak (mentioned in a comment) and B.S. Weinstein, I recall any significant reference to exchanges with Emmy Noether.

In Emmy Noether – Mathematician Extraordinaire by David E. Rowe (Springer, 2021) there's the following interesting paragraph (p. xvi), which at least contains Rowe's view on the significance of Emmy Noether's generalization.

Noether’s other great achievement came in her earlier paper [Noether 1921b]. Here she was able to place Emanuel Lasker’s decomposition theorem for ideals in a ring of polynomials on a much broader and clearer basis. The building blocks in this case were the primary ideals introduced by Lasker, but instead of five axioms Noether essentially only needed one restriction, namely, that the ring does not contain an infinitely ascending chain of ideals. This property was not new, but Emmy Noether was the first to recognize its central importance. This is why rings that satisfy the ascending chain condition (acc) are today called Noetherian rings. She later made this acc condition the first of her five axioms in [Noether 1927a]. Noether’s structure theorem for polynomial rings was of great importance for the algebraization of algebraic geometry. Her father had proved a fundamental theorem for this discipline in 1871, which later served as the foundation for the work of the “Italian school.” However, his daughter took up earlier results of Hilbert and Lasker in order to lay the foundation for a new and far more general direction in algebraic geometry based on polynomial ideals. Yet even more important than these results were Noether’s methods, which clearly revealed the strength of her conceptual arguments compared with earlier more computational methods. Her goal throughout was to make everything as transparent as possible, and her most important works can still be read today with interest and understanding, a rare achievement in mathematics.