Properties of Finitely Supported Self - Mappings on the Finite Powerset of Atoms
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ALEXANDRU, Andrei. Properties of Finitely Supported Self - Mappings on the Finite Powerset of Atoms. In: Computer Science Journal of Moldova, 2021, nr. 1(85), pp. 41-58. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 1(85) / 2021 / ISSN 1561-4042 /ISSNe 2587-4330

Properties of Finitely Supported Self - Mappings on the Finite Powerset of Atoms

CZU: 512+519.2+517.9
MSC 2010: 03E30, 03E25, 03B70.

Pag. 41-58

Alexandru Andrei
 
Institute for Computer Science, Romanian Academy, Iasi Branch
 
 
Disponibil în IBN: 24 aprilie 2021


Rezumat

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.

Cuvinte-cheie
finitely supported structures, atoms, finite powerset, injectivity, surjectivity, fixed points