ON THE DIVISOR-CLASS GROUP OF MONADIC SUBMONOIDS OF RINGS OF INTEGER-VALUED POLYNOMIALS

DOI10.4134/CKMS.c160069zbMath1386.13012arXiv1604.03594OpenAlexW2963259770MaRDI QIDQ5360704

Andreas Reinhart

Publication date: 26 September 2017

Published in: Communications of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03594

zbMATH Keywords

Krull monoidsinteger-valued polynomialdivisor class-groupmonadic submonoidsmonadically Krull monoids

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Semigroup rings, multiplicative semigroups of rings (20M25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Arithmetic theory of semigroups (20M13)

Related Items (3)

Sets of Lengths ⋮ Absolute irreducibility of the binomial polynomials ⋮ Strong atoms in monadically Krull monoids

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