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• W1553096475 abstract "A (not necessarily commutative) Krull monoid---as introduced by Wauters---is defined as a completely integrally closed monoid satisfying the ascending chain condition on divisorial two-sided ideals. We study the structure of these Krull monoids, both with ideal theoretic and with divisor theoretic methods. Among others we characterize normalizing Krull monoids by divisor theories. Based on these results we give a criterion for a Krull monoid to be a bounded factorization monoid, and we provide arithmetical finiteness results in case of normalizing Krull monoids with finite Davenport constant." @default.
• W1553096475 created "2016-06-24" @default.
• W1553096475 creator A5003407505 @default.
• W1553096475 date "2013-06-01" @default.
• W1553096475 modified "2023-09-23" @default.
• W1553096475 title "NON-COMMUTATIVE KRULL MONOIDS: A DIVISOR THEORETIC APPROACH AND THEIR ARITHMETIC" @default.
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• W1553096475 doi "https://doi.org/10.18910/25092" @default.
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