The positive and generalized discriminators don't exist
Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 1, pp. 121-128
Cet article a éte moissonné depuis la source Library of Science
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
@article{DMGAA_2000_20_1_a9,
author = {Pinus, A.},
title = {The positive and generalized discriminators don't exist},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {121--128},
year = {2000},
volume = {20},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2000_20_1_a9/}
}
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/
[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.