The Semiring of Multisets

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Title: The Semiring of Multisets
Author: Poplin, Phillip
Advisors: Robert Hartwig, Chair
Ernest Stitzinger, Member
Jiang Luh, Member
Mohan Putcha, Member
Abstract: The aim of this paper is to develop the basic theory of the Multiset Algebra. Multisets provide a connection between the eigenvalue/eigenvector equations for the Max-Plus and nonnegative real number systems. Multisets provide a moregeneral setting than either of these two algebras. Results about these two algebras will be developed from the theory of Multisets.
Date: 2000-11-13
Degree: PhD
Discipline: Mathematics

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