Abstract
Lattice-ordered structures and, especially, ordered groups are frequently used systems in algebra. These groups represent in some sense all the advantages of ring structures on the one hand, and the relative simplicity of partially ordered groups on the other. In this chapter we first introduce some basic properties of lattice-ordered groups needed to demonstrate some useful results from the theory of groups of divisibility. In the final section we present the basic approximation theorem for the groups with the theory of divisors.
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© 1992 Springer Science+Business Media Dordrecht
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Alajbegović, J., Močkoř, J. (1992). Ordered Groups and Homomorphisms. In: Approximation Theorems in Commutative Algebra. Mathematics and Its Applications(East European Series), vol 59. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2716-5_3
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DOI: https://doi.org/10.1007/978-94-011-2716-5_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5204-7
Online ISBN: 978-94-011-2716-5
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