Abstract
A commutative semigroup $S$ is subarchimedean if there is an element $z\in S$ such that for every $a\in S$ there exist a positive integer $n$ and $x\in S$ such that $z^n=ax$. Such a semigroup is archimedean if this holds for all ${z\in S}$. A commutative cancellative idempotent-free archimedean semigroup is an $\frak{N}$-semigroup. We study the structure of semigroups in the title as related to $\frak{N}$-semigroups.
Citation
Antonio M. Cegarra. Mario Petrich. "Structure of commutative cancellative subarchimedean semigroups." Bull. Belg. Math. Soc. Simon Stevin 13 (1) 101 - 111, March 2006. https://doi.org/10.36045/bbms/1148059336
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