Lattices of topologies of unary algebras of the variety

We consider the variety of unary algebras 〈 A, f, g 〉 defined by the identities f ( g ( x )) = g ( f ( x )) = x . We describe algebras of this variety, whose topology lattices are modular, distributive, linearly ordered, complemented, or pseudocomplemented.

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Bibliographic Details
Published inRussian mathematics Vol. 53; no. 4; pp. 20 - 25
Main Author Kartashova, A. V.
Format Journal Article
LanguageEnglish
Published Heidelberg Allerton Press, Inc 01.04.2009
Subjects
Mathematics
Mathematics and Statistics
unary algebra
topology lattice
variety
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Summary:We consider the variety of unary algebras 〈 A, f, g 〉 defined by the identities f ( g ( x )) = g ( f ( x )) = x . We describe algebras of this variety, whose topology lattices are modular, distributive, linearly ordered, complemented, or pseudocomplemented.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X09040033