2 problems

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Artin monoids conjecture for the class in Problem 5.7
An Artin monoid is a monoid associated with an Artin system; the source considers cancellative monoids equipped with a discrete degree map and the class of pairs $(M,\deg)$ satisfy…
Conjectureopenartin-monoids cancellative-monoidsarXiv posted 2 days ago
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Absolute convergence conjecture for the Möbius Dirichlet series of a cancellative monoid
Let $M$ be a cancellative monoid with a discrete degree map, let $I_0$ be a subset of $M/\!\!\sim\setminus\{[1]\}$ satisfying $I_0=\min(I_0)$ , and let $P_{M,I_0}(\exp(-s))$ and…
Conjectureopencancellative-monoids dirichlet-seriesarXiv posted 2 days ago

Artin monoids conjecture for the class in Problem 5.7