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Approximation Theorems for Multi-Structures

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Approximation Theorems in Commutative Algebra

Part of the book series: Mathematics and Its Applications() ((MAEE,volume 59))

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Abstract

There are various analogies between the theory of rings and partially ordered groups. Let us recall for example the following well-known theorems:

  1. (1)

    A commutative integral domain A can be expressed as an intersection of quasi-local integral domains.

  2. (2)

    An Abelian lattice-ordered group G admits a realization.

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© 1992 Springer Science+Business Media Dordrecht

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Alajbegović, J., Močkoř, J. (1992). Approximation Theorems for Multi-Structures. 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_4

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  • DOI: https://doi.org/10.1007/978-94-011-2716-5_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5204-7

  • Online ISBN: 978-94-011-2716-5

  • eBook Packages: Springer Book Archive

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