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For a positive real $\alpha$, we can consider the additive submonoid $M$ of the real line that is generated by the nonnegative powers of $\alpha$. When $\alpha$ is transcendental, $M$ is a unique factorization monoid. However, when $\alpha$ is algebr
Externí odkaz:
http://arxiv.org/abs/2302.02321
A Puiseux monoid is an additive submonoid of the nonnegative cone of the rational numbers. We say that a Puiseux monoid $M$ is exponential provided that there exist a positive rational $r$ and a set $S$ consisting of nonnegative integers, which conta
Externí odkaz:
http://arxiv.org/abs/2006.07791
Publikováno v:
Communications in Algebra; 2021, Vol. 49 Issue 2, p850-863, 14p