Does 𝐒𝐏 K ⊇ 𝐏𝐒 K imply axiom of choice?

Hajnal Andréka; István Németi

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 4, page 699-706
  • ISSN: 0010-2628

How to cite

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Andréka, Hajnal, and Németi, István. "Does ${\bf SP}\ K\supseteq \ {\bf PS}\ K$ imply axiom of choice?." Commentationes Mathematicae Universitatis Carolinae 021.4 (1980): 699-706. <http://eudml.org/doc/17071>.

@article{Andréka1980,
author = {Andréka, Hajnal, Németi, István},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {operators on classes of algebras; reduced products; direct products},
language = {eng},
number = {4},
pages = {699-706},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Does $\{\bf SP\}\ K\supseteq \ \{\bf PS\}\ K$ imply axiom of choice?},
url = {http://eudml.org/doc/17071},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Andréka, Hajnal
AU - Németi, István
TI - Does ${\bf SP}\ K\supseteq \ {\bf PS}\ K$ imply axiom of choice?
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 4
SP - 699
EP - 706
LA - eng
KW - operators on classes of algebras; reduced products; direct products
UR - http://eudml.org/doc/17071
ER -

References

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  1. ANDRÉKA H., BURMEISTER P., NÉMETI I., Quasivarieties of Partial Algebras (Toward a unified model theory for Partial Algebras), Preprint Technische Hochschule Darmstadt, 1980, (1980) MR0608002
  2. GRÄTZER G., Universal Algebra, Second Edition, Springer Verlag, 1979. (1979) MR0538623
  3. HENKIN L., MONK J. D., TARSKI A., Cylindric Algebras, Part I, North Holland, 1971. (1971) Zbl0214.01302MR0781929
  4. LEVY A., Basic Set Theory, Springer Verlag 1979. (1979) Zbl0404.04001MR0533962
  5. NÉMETI I., Operators on Classes of Algebras and the Axiom of Choice, Mathematical Institute of Hung. Acad. Sci., Preprint, June 1980. (1980) 
  6. PIGOZZI D., On some operations on classes of algebras, Algebra Universalis 2 (1972), 346-353. (1972) Zbl0272.08006MR0316354

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