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Second, among others, we explore a monad in relation with probabilistic convergence groups, and probabilistic convergence spaces, and their related algebras. In so doing, we consider a product of the categories of probabilistic convergence groups and probabilistic convergence spaces in an attempt to construct a monad on it such that the corresponding category of algebras, the so-called Eilenberg\u2013Moore category, is isomorphic to the category of probabilistic convergence transformation groups. Finally, invoking so-called Beck\u2019s theorem on characterization of algebras, and starting with a particular adjunction, we achieve a monad. Conversely, given a monad, we obtain an adjunction which coincides with the original monad.<\/jats:p>","DOI":"10.1142\/s179300572250020x","type":"journal-article","created":{"date-parts":[[2021,7,21]],"date-time":"2021-07-21T12:20:29Z","timestamp":1626870029000},"page":"385-405","source":"Crossref","is-referenced-by-count":2,"title":["On the Probabilistic Convergence Spaces: Monad and its Eilenberg\u2013Moore Category"],"prefix":"10.1142","volume":"18","author":[{"given":"T. M. 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