Cancellation properties in ideal systems: an $\boldsymbol{e.a.b.}$ not $\boldsymbol{a.b.}$ star operation

K. Alan Loper; Marco Fontana; Ry\^uki Matsuda

arxiv: 1002.2388 · v2 · submitted 2010-02-11 · 🧮 math.AC · math.AG

Cancellation properties in ideal systems: an boldsymbol{e.a.b.} not boldsymbol{a.b.} star operation

Marco Fontana , K. Alan Loper , Ry\^uki Matsuda This is my paper

classification 🧮 math.AC math.AG

keywords cancellationconditionboldsymbolstartextttgilmeridealkrull

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We show that Krull's \texttt{a.b.} cancellation condition is a properly stronger condition than Gilmer's \texttt{e.a.b.} cancellation condition for star operations.

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Cancellation properties in ideal systems: an boldsymbol{e.a.b.} not boldsymbol{a.b.} star operation

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