8 citations · 12 across the 13 of their papers we have counts for
13 papers
Preorder Preservation versus Congruence Preservation
Patrick Cégielski, Irène Guessarian
Looking at some monoids and (semi)rings (natural numbers, integers and -adic integers), and more generally, residually finite algebras (in a strong sense), we prove the equivale…
Congruence Preservation, Lattices and Recognizability
Patrick Cegielski, Serge Grigorieff, Irene Guessarian
We study in general algebras Gratzer's notion of congruence preserving function, characterizing functions in terms of stability under inverse image of particular Boolean algebras o…
Affine completeness of some free binary algebras
André Arnold, Patrick Cégielski, Irène Guessarian
A function on an algebra is congruence preserving if, for any congruence, it maps pairs of congruent elements onto pairs of congruent elements. An algebra is said to be affine comp…
The algebra of binary trees is affine complete
Andre Arnold, Patrick Cegielski, Serge Grigorieff +1
A function on an algebra is congruence preserving if, for any congruence, it maps pairs of congruent elements onto pairs of congruent elements. We show that on the algebra of binar…
The algebra of complete binary trees is affine complete
A. Arnold, P. Cegielski, S. Grigorieff +1
A function on an algebra is congruence preserving if, for any congruence, it maps pairs of congruent elements onto pairs of congruent elements. We show that on the algebra of compl…
Congruence Preservation, Lattices and Recognizability
Patrick Cegielski, Serge Grigorieff, Irene Guessarian
Looking at some monoids and (semi)rings (natural numbers, integers and p-adic integers), and more generally, residually finite algebras (in a strong sense), we prove the equivalenc…