Clones with Nullary Operations | Zendy

Mike Behrisch | Zendy

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Clones with Nullary Operations

Author(s) -

Mike Behrisch

Publication year - 2014

Publication title -

electronic notes in theoretical computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.242

H-Index - 60

ISSN - 1571-0661

DOI - 10.1016/j.entcs.2014.02.002

Subject(s) - closure (psychology) , mathematics , clone (java method) , combinatorics , discrete mathematics , lattice (music) , computer science , biology , genetics , physics , gene , economics , acoustics , market economy

This article discusses clones with nullary operations and the corresponding relational clones, both defined on arbitrary sets. By means of two pairs of kernel and closure operators, the relationship between such clones and clones in the traditional sense, i.e. without nullary operations, is investigated, and in particular the latter type of clones is located in the lattice of all clones. Finally, the fundamental theorem characterising Galois closed sets w.r.t. an adjusted version of Pol – Inv as local closures of clones and relational clones, respectively, is proven in the more comprehensive setting

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