The positive and generalized discriminators don't exist
Discussiones Mathematicae - General Algebra and Applications (2000)
- Volume: 20, Issue: 1, page 121-128
- ISSN: 1509-9415
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Abstract
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topA.G. Pinus. "The positive and generalized discriminators don't exist." Discussiones Mathematicae - General Algebra and Applications 20.1 (2000): 121-128. <http://eudml.org/doc/287728>.
@article{A2000,
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.},
author = {A.G. Pinus},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {discriminator function; positive conditional term; generalized conditional term; locally finite universal algebra},
language = {eng},
number = {1},
pages = {121-128},
title = {The positive and generalized discriminators don't exist},
url = {http://eudml.org/doc/287728},
volume = {20},
year = {2000},
}
TY - JOUR
AU - A.G. Pinus
TI - The positive and generalized discriminators don't exist
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2000
VL - 20
IS - 1
SP - 121
EP - 128
AB - 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.
LA - eng
KW - discriminator function; positive conditional term; generalized conditional term; locally finite universal algebra
UR - http://eudml.org/doc/287728
ER -
References
top- [1] A.G. Pinus, On conditional terms and identities on universal algebras, Siberian Advances in Math. 8 (1998), 96-109. Zbl0924.08005
- [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. Zbl0984.08003
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