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

Marco Fontana, K. Alan Loper, Ryûki Matsuda

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.