Geodesic
The positive and generalized discriminators don't exist
Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 1, pp. 121-128

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In this paper it is proved that there does not exist a function for the language of positive and generalized conditional terms that behaves the same as the discriminator for the language of conditional terms.
Keywords: discriminator function, positive conditional term, generalized conditional term 
Pinus, A. The positive and generalized discriminators don't exist. Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 1, pp. 121-128. http://geodesic.mathdoc.fr/item/DMGAA_2000_20_1_a9/
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[1] A.G. Pinus, On conditional terms and identities on universal algebras, Siberian Advances in Math. 8 (1998), 96-109.

[2] A.G. Pinus, The calculas of conditional identities and conditionally rational equivalence (in Russian), Algebra i Logika (English transl.: Algebra and Logic) 37 (1998), 432-459.

[3] A.G. Pinus, N-elementary embeddings and n-conditionally terms, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 1, 36-40.

[4] A.G. Pinus, Conditional terms and its applications, Algebra Proceedings of the Kurosh Conference, Walter de Gruyter, Berlin-New York 2000, 291-300.

[5] A.G. Pinus, The inner homomorphisms and positive conditinal terms, (in Russian), Algebra i Logika, to appear.