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When is the product of intervals also an interval? - MaRDI portal

When is the product of intervals also an interval? (Q1387763)

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scientific article; zbMATH DE number 1160467
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When is the product of intervals also an interval?
scientific article; zbMATH DE number 1160467

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    When is the product of intervals also an interval? (English)
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    4 March 1999
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    The author shows that in a consistently ordered ring without zero divisors the product of every two intervals (as induced by the order relation) is an interval, if and only if the ring is linearly ordered and almost invertable; the latter notion is defined by the authors.
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    interval arithmetic
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    ordered ring
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