Affine Noetherian algebras, filtrations and presentations

نویسندگان

چکیده

Resco and Small gave the first example of an affine Noetherian algebra which is not finitely presented. It shown that their has no finite-dimensional filtrations whose associated graded algebras are Noetherian, affirming prediction. A modification yields countable fields over ‘almost all’ (that is, a co-countable continuum of) lack such filtration, answer to question suggested by Irving derived.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2023

ISSN: ['2330-1511']

DOI: https://doi.org/10.1090/proc/16230