This article is cited in 1 paper

Lattices of topologies of unary algebras of the variety $\mathcal A_{1,1}$

A. V. Kartashova

Volgograd State Pedagogical University

Abstract: We consider the variety of unary algebras $\langle A,f,g\rangle$ defined by the identities $f(g(x))=g(f(x))=x$. We describe algebras of this variety, whose lattices of topologies are modular, distributive, linearly ordered, complemented, or pseudocomplemented.

Keywords: unary algebra, lattice of topologies, variety.

UDC: 517.986

Received: 12.02.2007

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:4, 20–25

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