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De Gruyter
Klaus Denecke
Algebra And Discrete Mathematics For Economics
N/A
2026
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Publisher > De Gruyter
Author > Klaus Denecke
Title > Algebra And Discrete Mathematics For Economics
Issue > N/A
Year > 2026
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ISBN > 9783112234440
Pages > 443
Genre > Math
Language > English
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Type > RETAIL
Media > TECH
Format > .epub
Section > eBook
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Published > 2026-06
Release > 2026-06-27
Disks > 04 x 10 MB
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- - -- [ D E S C R I P T I O N ] -- - -
Algebra and Discrete Mathematics are essential tools also for economists.
Globalization makes that goods and services are exchanged worldwide. Input-
output analysis uses the advantage of a relatively stable flow of
commodities and services. The essential principles can be described by
input-output tables. Such tables correspond to systems of linear equations,
written as single equations consisting of matrices whose entries are non-
negative rational numbers. The flow itself can be described by a directed
edge-valued graph where the sets of values consist of positive rational
numbers. Therefore numbers, especially non-negative rational numbers,
multiple-partite graphs and matrices with non-negative rational entries
play an important role in input-output analysis. Thus knowledge from
Algebra and Discrete Mathematics becomes more and more useful in this area.
We will consider a particular set of graphs, the so-called input-output
graphs and a particular set of matrices, the input-output matrices, define
a partial binary operation on each of these sets and prove that we obtain
weakly isomorphic weakly partial semigroups. The result of considering this
situation can be applied to multiple-step production processes, to material
reqirements planning and to internal cost allocation of a business. The
results show that Algebra and Discrete Mathematics are quite useful for
mathematical modeling in Economy.
- - -- [ R E T A I L U R L ] -- - -
https://www.ebooks.com/book/347453221/algebra-and-discrete-mathematics-for-
economics/klaus-denecke/
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