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Injectives in residuated algebras. (English) Zbl 1079.06014
Summary: Injectives in several classes of structures associated with logic are characterized. Among the classes considered are residuated lattices, MTL-algebras, IMTL-algebras, BL-algebras, NM-algebras and bounded hoops.

MSC:
06F05 Ordered semigroups and monoids
03G25 Other algebras related to logic
08B30 Injectives, projectives
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