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http://dx.doi.org/10.4134/CKMS.c210270

A CHARACTERIZATION OF FINITE FACTORIZATION POSITIVE MONOIDS  

Polo, Harold (Mathematics Department University of Florida)
Publication Information
Communications of the Korean Mathematical Society / v.37, no.3, 2022 , pp. 669-679 More about this Journal
Abstract
We provide a characterization of the positive monoids (i.e., additive submonoids of the nonnegative real numbers) that satisfy the finite factorization property. As a result, we establish that positive monoids with well-ordered generating sets satisfy the finite factorization property, while positive monoids with co-well-ordered generating sets satisfy this property if and only if they satisfy the bounded factorization property.
Keywords
Well-ordered set; co-well-ordered set; positive monoid; Puiseux monoid; semiring; positive semiring; finite factorization property; factorization theory;
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Times Cited By KSCI : 1  (Citation Analysis)
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