2 citations · 3 across the 7 of their papers we have counts for
8 papers · 1 filter
Very many term clones in a very small variety
Martin Goldstern
We give an example of a finitely based locally finite variety which has uncountably many term clones. (Such varieties were known before.)
Analytic clones
Martin Goldstern
We use a method from descriptive set theory to investigate the two precomplete clones above the unary clone on a countable set.
Clones from Creatures
Martin Goldstern, Saharon Shelah
A clone on a set X is a set of finitary operations on X which contains all the projections and is closed under composition. The set of all clones forms a complete lattice Cl(X) wit…
Completion of Semirings
Martin Goldstern
A semiring can be ``completed'' (i.e., embedded into a semiring in which all infinite sums are defined and satisfy some reasonable properties) iff this semiring can be naturally pa…
Large intervals in the clone lattice
Martin Goldstern, Saharon Shelah
We give three examples of large intervals in the lattice of (local) clones on an infinite set X, by exhibiting clones C_1, C_2, C_3 such that: (1) the interval [C_1, O] in the latt…
Balanced d-lattices are complemented
Martin Goldstern, Miroslav Ploscica
We show that all balanced d-lattices must be complemented, answering a question of Chajda and Eigenthaler. (A bounded lattice is balanced if any two congruences agree on their 1-cl…