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- Title
Operator of positive closure.
- Authors
Marchenkov, S.
- Abstract
The article discusses the positive closure operator, a further extension of Kuznetsov's parametric closure operator. It proposes the algebraic description of positively closed classes, solves the problem of positively precomplete classes and indicates all the atoms of the lattice of positively closed classes of three-valued logic. It defines the language of Pos to understand the basic concepts of positive closure operator through the original symbols of Pos which are the object of variables x1, x2. It adds that the set of all endomorphisms of the algebra is denoted by the set End(Q) and End(f).
- Subjects
CLOSURE operators; POSITIVE operators; SET theory; LATTICE ordered groups; ALGEBRAIC logic; VALUED fields; MATHEMATICAL variables; ENDOMORPHISMS; ALGEBRA
- Publication
Doklady Mathematics, 2012, Vol 85, Issue 1, p102
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562412010346