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math.RA2021★ 1 cited
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…
math.RA2016★ 1 cited
Congruence Preserving Functions on Free Monoids
Patrick Cégielski, Serge Grigorieff, Irène Guessarian
A function on an algebra is congruence preserving if, for any congruence, it maps congruent elements to congruent elements. We show that, on a free monoid generated by at least 3 l…