Geodesic
Lattices of topologies of unary algebras of the variety~$\mathcal A_{1,1}$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2009), pp. 25-32

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{IVM_2009_4_a2,
     author = {A. V. Kartashova},
     title = {Lattices of topologies of unary algebras of the variety~$\mathcal A_{1,1}$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {25--32},
     publisher = {mathdoc},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_4_a2/}
}
TY  - JOUR
AU  - A. V. Kartashova
TI  - Lattices of topologies of unary algebras of the variety~$\mathcal A_{1,1}$
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2009
SP  - 25
EP  - 32
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2009_4_a2/
LA  - ru
ID  - IVM_2009_4_a2
ER  - 
%0 Journal Article
%A A. V. Kartashova
%T Lattices of topologies of unary algebras of the variety~$\mathcal A_{1,1}$
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2009
%P 25-32
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2009_4_a2/
%G ru
%F IVM_2009_4_a2
A. V. Kartashova. Lattices of topologies of unary algebras of the variety~$\mathcal A_{1,1}$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2009), pp. 25-32. http://geodesic.mathdoc.fr/item/IVM_2009_4_a2/