On 2-dimensional Noetherian semigroups and a principal ideal theorem

DOI10.5036/MJIU.31.29zbMath0984.20042OpenAlexW2035914363MaRDI QIDQ4512394

Ryuki Matsuda, Kôjirô Satô

Publication date: 1 November 2000

Published in: Mathematical journal of Ibaraki University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5036/mjiu.31.29

zbMATH Keywords

Noetherian domainstorsionfree Abelian groupsintegral domainsKrull domainssubmonoidsintegral closuresKrull-Akizuki theoremNoetherian monoidsMori-Nagata theoremheight-three prime ideals

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Commutative semigroups (20M14) Integral closure of commutative rings and ideals (13B22) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15)

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