Kainrath, Florian Arithmetic of Mori domains and monoids: the global case. (English) Zbl 1394.20035 Chapman, Scott (ed.) et al., Multiplicative ideal theory and factorization theory. Commutative and non-commutative perspectives. Selected papers based on the presentations at the meeting ‘Arithmetic and ideal theory of rings and semigroups’, Graz, Austria, September 22–26, 2014. Cham: Springer (ISBN 978-3-319-38853-3/hbk; 978-3-319-38855-7/ebook). Springer Proceedings in Mathematics & Statistics 170, 183-218 (2016). Summary: In [A. Geroldinger and W. Hassler, J. Algebra 319, No. 8, 3419–3463 (2008; Zbl 1195.13022)] the class of weakly C-monoid has been introduced. We continue to study their arithmetic and give more examples of such monoids.For the entire collection see [Zbl 1346.13002]. Cited in 16 Documents MSC: 20M13 Arithmetic theory of semigroups 13A05 Divisibility and factorizations in commutative rings 13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations 13F15 Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) Keywords:class semigroup; quasi-finite semigroup; weakly C-monoid; Mori domain; tame degree; local tameness; elasticity; catenary degree Citations:Zbl 1195.13022 PDF BibTeX XML Cite \textit{F. Kainrath}, Springer Proc. Math. Stat. 170, 183--218 (2016; Zbl 1394.20035) Full Text: DOI OpenURL References: This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.