Geodesic
A note on injective hulls of posemigroups
Theory and applications of categories, Tome 32 (2017), pp. 253-257

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In this note, we prove the existence of $E_\leq$-injective hulls in the category $PoSgr_\leq$ of posemigroups and their submultiplicative order-preserving maps; here $E_\leq$ denotes the class of those morphisms $h : A \to B$ for which $h(a_1)...h(a_n)\leq h(a)$ always implies $a_1...a_n\leq a$. The result of this note subsumes the results given by Lambek et al. (2012) and by Zhang and Laan (2014).

Publié le :
Classification : 06F05, 06F07, 08B30
Keywords: partially ordered semigroup, quantale, quantic nucleus, injective hull 
@article{TAC_2017_32_a6,
     author = {Changchun Xia and Shengwei Han and Bin Zhao},
     title = {A note on injective hulls of posemigroups},
     journal = {Theory and applications of categories},
     pages = {253--257},
     publisher = {mathdoc},
     volume = {32},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2017_32_a6/}
}
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Changchun Xia; Shengwei Han; Bin Zhao. A note on injective hulls of posemigroups. Theory and applications of categories, Tome 32 (2017), pp. 253-257. http://geodesic.mathdoc.fr/item/TAC_2017_32_a6/