On Monoids and Domains Whose Monadic Submonoids Are Krull

DOI10.1007/978-1-4939-0925-4_18zbMath1327.13014OpenAlexW92052494MaRDI QIDQ2949009

Andreas Reinhart

Publication date: 7 October 2015

Published in: Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-0925-4_18

zbMATH Keywords

Krull monoidinteger-valuedmonadicallyMori setSP-domain

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Radical theory for semigroups (20M11)

Related Items (11)

Split absolutely irreducible integer-valued polynomials over discrete valuation domains ⋮ Group-theoretic and topological invariants of completely integrally closed Prüfer domains ⋮ Divisor sequences of atoms in Krull monoids ⋮ Absolute irreducibility of the binomial polynomials ⋮ Sets of lengths of factorizations of integer-valued polynomials on Dedekind domains with finite residue fields ⋮ Radical factorization in commutative rings, monoids and multiplicative lattices ⋮ Factorization under local finiteness conditions ⋮ Characterizing absolutely irreducible integer-valued polynomials over discrete valuation domains ⋮ Factorization theory in commutative monoids ⋮ On elasticities of locally finitely generated monoids ⋮ Strong atoms in monadically Krull monoids

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