Adjoint Property of Free Functor in the Category of Riesz Module
Based on the study of Riesz spaces on left R-modules,the concept of the category of Riesz modules is given,the adjoint and cleavability properties of free functor in the category of Riesz modules are studied,and it is proved that free functors and forgetting functors are a pair of adjoint functors,and a full homomorphism ϕ:M →F of free Riesz modules F is cleavable.
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