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We construct a powerset monad, a filter monad and a primefilter monad in the category $ M $-Set of sets with $ M $-actions. To investigate the categories of algebras of these monads in $ M $-Set, we c...onsider the category of complete semilattices (resp. continuous lattices, compact Hausd orff spaces) with $ M $-actions. We show that if $ M $ is a group, this category is isomorphic to the category of algebras of the powerset monad (resp. filter monad, primefilter monad) in $ M $-Set.続きを見る
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Mendeley出力
