Aufsatz in einer Fachzeitschrift
Faithful functors from cancellative categories to cancellative monoids with an application to abundant semigroups



Details zur Publikation
Autor(inn)en:
Gould, V.; Kambites, M.
Publikationsjahr:
2005
Zeitschrift:
International Journal of Algebra and Computation
Seitenbereich:
683-698
Jahrgang/Band:
15
Erste Seite:
683
Letzte Seite:
698
ISSN:
0218-1967

Zusammenfassung, 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 M-0 (M; I, I; P) 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.

Zuletzt aktualisiert 2019-01-11 um 16:05