The positive and generalized discriminators don't exist
A.G. Pinus
Discussiones Mathematicae - General Algebra and Applications, Tome 20 (2000), p. 121-128 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:287728
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A.G. Pinus. The positive and generalized discriminators don't exist. Discussiones Mathematicae - General Algebra and Applications, Tome 20 (2000) pp. 121-128. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1010/

[000] [1] A.G. Pinus, On conditional terms and identities on universal algebras, Siberian Advances in Math. 8 (1998), 96-109. | Zbl 0924.08005

[001] [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.

[002] [3] A.G. Pinus, N-elementary embeddings and n-conditionally terms, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 1, 36-40.

[003] [4] A.G. Pinus, Conditional terms and its applications, Algebra Proceedings of the Kurosh Conference, Walter de Gruyter, Berlin-New York 2000, 291-300.

[004] [5] A.G. Pinus, The inner homomorphisms and positive conditinal terms, (in Russian), Algebra i Logika, to appear. | Zbl 0984.08003