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ArticleOriginal scientific text

Title

The positive and generalized discriminators don't exist

Authors 1

Affiliations

  1. Department of Algebra and Mathematical Logic, Novosibirsk State Technical University, Novosibirsk, Russia

Abstract

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

ENG
discriminator function, positive conditional term, generalized conditional term

Bibliography

  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.
Discussiones Mathematicae - General Algebra and Applications
2000/20/1
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Pages:
121-128
Main language of publication
English
Received
1999-01-06
Accepted
1999-03-20
Published
2000

DOI: 10.7151/dmgaa.1010

Exact and natural sciences