A survey of clones on infinite sets
Martin Goldstern, Michael Pinsker
Abstract
A clone on a set X is a set of finitary operations on X which contains all projections and which is moreover closed under functional composition. Ordering all clones on X by inclusion, one obtains a complete algebraic lattice, called the clone lattice. We summarize what we know about the clone lattice on an infinite base set X and formulate what we consider the most important open problems.
Create a lesson
Related papers
The E6 normal forms: semisimple deformations, geometry, DT invariants, and the E6,∞ order
Shengyong Pan
A 9-dimensional nilpotent Lie algebra isomorphic to its complex conjugate admitting no real form
Tom De Medts
Projective Differential Moment Invariants from the Viewpoint of Classical Invariant Theory
Leonid Bedratyuk
Global obstruction property and its applications
Weiheng Xia
The rank of 3× 3 matrix multiplication over F2 is 23
Tejasvi Singh Tomar
BiHom-Poisson conformal superalgebras arising from related algebraic structures
BakolÈ Louamou, Ibrahima Bakayoko, Kol BÉatrice Gamou