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Injective hulls of partially ordered monoids

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J. Lambek, Michael Barr, John F. Kennison, R. Raphael

We find the injective hulls of partially ordered monoids in the
category whose objects are po-monoids and submultiplicative
order-preserving functions. These injective hulls are with respect
to a special class of monics called ``embeddings''. We show as well
that the injective objects with respect to these embeddings are
precisely the quantales.

Keywords:
partially ordered monoids, injectives

2000 MSC:
06F05, 06F07, 08B30

*Theory and Applications of Categories,*
Vol. 26, 2012,
No. 13, pp 338-348.

Published 2012-07-06.

http://www.tac.mta.ca/tac/volumes/26/13/26-13.dvi

http://www.tac.mta.ca/tac/volumes/26/13/26-13.ps

http://www.tac.mta.ca/tac/volumes/26/13/26-13.pdf

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/26/13/26-13.dvi

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/26/13/26-13.ps

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