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Factorization theory of root closed monoids of small rank |
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| Authors: | Jim Coykendall |
| Institution: | Department of Mathematical Sciences, Clemson University, Clemson, South Carolina, USA |
| Abstract: | In this note, we investigate ideal and factorization-theoretic properties of some root closed cancellative commutative monoids of rank at most two. |
| Keywords: | Coherent monoid factorial monoid GCD monoid group of fractions half-factorial monoid inside factorial monoid Krull monoid Noetherian monoid outside factorial monoid principal ideal monoid rank root closure Schreier monoid valuation monoid |