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Projective and injective objects in the category of quantales

✍ Scribed by Li Yong-ming; Zhou Meng; Li Zhi-hui

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
119 KB
Volume
176
Category
Article
ISSN
0022-4049

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✦ Synopsis

Regular projective quantales are characterized as the weakly * -stable completely distributive lattices. For the class E of all onto quantale homomorphisms whose right adjoints preserve multiplication * , it is proved that E-projective quantales are exactly weakly * -stable completely distributive lattices. It is also proved that there are no nontrivial injective objects in the category of quantales.

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