The positive and generalized discriminators don't exist

• Autorzy: A.G. Pinus
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

discriminator function; positive conditional term; generalized conditional term

Kategorie tematyczne

• 08A40: Operations, polynomials, primal algebras
• 08B05: Equational logic, Mal\cprime cev (Mal\cprime tsev) conditions
• 03C05: Equational classes, universal algebra

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2000
• Tom: 20
• Numer: 1
• Strony: 121-128

Daty

wydano

2000

otrzymano

1999-01-06

poprawiono

1999-03-20

poprawiono

1999-07-02

Twórcy

autor

A.G. Pinus

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

Bibliografia

• [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.

Identyfikatory

DOI

10.7151/dmgaa.1010