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- W2085193533 abstract "We prove that any small cancellative category admits a faithful functor to a cancellative monoid. We use our result to show that any primitive ample semigroup is a full subsemigroup of a Rees matrix semigroup [Formula: see text] where M is a cancellative monoid and P is the identity matrix. On the other hand a consequence of a recent result of Steinberg is that it is undecidable whether a finite ample semigroup embeds as a full subsemigroup of an inverse semigroup." @default.
- W2085193533 created "2016-06-24" @default.
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- W2085193533 date "2005-08-01" @default.
- W2085193533 modified "2023-09-27" @default.
- W2085193533 title "FAITHFUL FUNCTORS FROM CANCELLATIVE CATEGORIES TO CANCELLATIVE MONOIDS WITH AN APPLICATION TO ABUNDANT SEMIGROUPS" @default.
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- W2085193533 doi "https://doi.org/10.1142/s0218196705002451" @default.
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