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<cfResPublDate>2021-03-01</cfResPublDate>
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<cfTitle cfLangCode='EN' cfTrans='o'>Properties of Finitely Supported Self - Mappings on the Finite Powerset of Atoms</cfTitle>
<cfKeyw cfLangCode='EN' cfTrans='o'>finitely supported structures; atoms; finite powerset; injectivity; surjectivity; fixed points</cfKeyw>
<cfAbstr cfLangCode='EN' cfTrans='o'><p>The theory of finitely supported algebraic structures represents a reformulation of Zermelo-Fraenkel set theory in which every classical structure is replaced by a finitely supported structure according to the action of a group of permutations of some basic elements named atoms. It provides a way of representing infinite structures in a discrete manner, by employing only finitely many characteristics. In this paper we present some (finiteness and fixed point) properties of finitely supported self-mappings defined on the finite power set of atoms.</p></cfAbstr>
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