Commutative Unary Algebras with Join-Semidistributive Topology Lattices

In this paper, it is proved that a commutative unary algebra with join-semidistributive topology lattice either is two-element or any two monogenic subalgebras of this algebra are comparable under inclusion. We also describe the class of all algebras with one unary operations whose topology lattices...

Full description

Saved in:
Bibliographic Details
Published inLobachevskii journal of mathematics Vol. 41; no. 2; pp. 207 - 213
Main Author Kartashova, A. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.02.2020
Springer Nature B.V
Subjects
Algebra
Analysis
Geometry
Lattices (mathematics)
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Topology
join-semidistributive lattices
topology lattices
Online AccessGet full text

Cover

More Information
Summary:In this paper, it is proved that a commutative unary algebra with join-semidistributive topology lattice either is two-element or any two monogenic subalgebras of this algebra are comparable under inclusion. We also describe the class of all algebras with one unary operations whose topology lattices are join-semidistributive.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080220020092