Browsing by Subject "Krull rings."

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Applications of Groups of Divisibility and a Generalization of Krull Dimension

Trentham, William Travis (North Dakota State University, 2011)

Groups of divisibility have played an important role in commutative algebra for many years. In 1932 Wolfgang Krull showed in [12] that every linearly ordered Abelian group can be realized as the group of divisibility of a ...