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Closed factors of
normal Z-semimodules
Daniel Alan Marcus |
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Vol. 93 (1981), No. 1, 121–146
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Abstract |
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Let M be a set of positive integers which is closed under multiplication and division whenever possible: if m,n ∈ M and m∣n, then n∕m ∈ M. A closed factor of M is a subset K ⊂ M which is closed under multiplication and for which there is another subset R ⊂ M such that every member of M is uniquely representable as a product kr with k ∈ K and r ∈ R. A theory is developed for determining all closed factors of a given M. The theory can be adapted to an analogous problem for convex polyhedral cones. |
Mathematical Subject Classification 2000
Primary: 05A99
Secondary: 20F99, 10A99
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Milestones
Received: 2 August 1979
Published: 1 March 1981
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Authors |
| Daniel Alan Marcus | |
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