Density of type-dependent sets in Krull monoids with analytic structure
نویسندگان
چکیده
Abstract We describe structural and quantitative properties of type-dependent sets in monoids with suitable analytic structure, including simple monoids, introduced by Kaczorowski (Semigroup Forum 94:532–555, 2017. 10.1007/s00233-016-9778-9 ), formations, as defined Geroldinger Halter-Koch (Non-unique factorizations, Chapman Hall, Boca Raton, 2006. 10.1201/9781420003208 ). propose the notions rank degree to measure size a set terms. also consider various regularity sets, related their zeta functions, obtain results on counting functions these sets.
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ژورنال
عنوان ژورنال: Semigroup Forum
سال: 2021
ISSN: ['0037-1912', '1432-2137']
DOI: https://doi.org/10.1007/s00233-021-10247-1