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- W1650424344 abstract "We give a classification of {texttt{e.a.b.}} semistar (and star) operations by defining four different (successively smaller) distinguished classes. Then, using a standard notion of equivalence of semistar (and star) operations to partition the collection of all {texttt{e.a.b.}} semistar (or star) operations, we show that there is exactly one operation of finite type in each equivalence class and that this operation has a range of nice properties. We give examples to demonstrate that the four classes of {texttt{e.a.b.}} semistar (or star) operations we defined can all be distinct. In particular, we solve the open problem of showing that {texttt{a.b.}} is really a stronger condition than {texttt{e.a.b.}}" @default.
- W1650424344 created "2016-06-24" @default.
- W1650424344 creator A5007431241 @default.
- W1650424344 creator A5014298843 @default.
- W1650424344 date "2009-05-02" @default.
- W1650424344 modified "2023-09-27" @default.
- W1650424344 title "Cancellation properties in ideal systems: A classification of $boldsymbol{e.a.b.}$ semistar operations" @default.
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