Weak products of universal algebras

Ildikó Sain

Banach Center Publications (1993)

  • Volume: 28, Issue: 1, page 311-318
  • ISSN: 0137-6934

Abstract

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Weak direct products of arbitrary universal algebras are introduced. The usual notion for groups and rings is a special case. Some universal algebraic properties are proved and applications to cylindric and polyadic algebras are considered.

How to cite

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Sain, Ildikó. "Weak products of universal algebras." Banach Center Publications 28.1 (1993): 311-318. <http://eudml.org/doc/262581>.

@article{Sain1993,
abstract = {Weak direct products of arbitrary universal algebras are introduced. The usual notion for groups and rings is a special case. Some universal algebraic properties are proved and applications to cylindric and polyadic algebras are considered.},
author = {Sain, Ildikó},
journal = {Banach Center Publications},
keywords = {universal algebra; algebraic logic; cylindric algebras; weak direct products; polyadic algebras; vector spaces; equational classes},
language = {eng},
number = {1},
pages = {311-318},
title = {Weak products of universal algebras},
url = {http://eudml.org/doc/262581},
volume = {28},
year = {1993},
}

TY - JOUR
AU - Sain, Ildikó
TI - Weak products of universal algebras
JO - Banach Center Publications
PY - 1993
VL - 28
IS - 1
SP - 311
EP - 318
AB - Weak direct products of arbitrary universal algebras are introduced. The usual notion for groups and rings is a special case. Some universal algebraic properties are proved and applications to cylindric and polyadic algebras are considered.
LA - eng
KW - universal algebra; algebraic logic; cylindric algebras; weak direct products; polyadic algebras; vector spaces; equational classes
UR - http://eudml.org/doc/262581
ER -

References

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  12. [12] L. Henkin, J. D. Monk, A. Tarski, H. Andréka and I. Németi, Cylindric Set Algebras, Lecture Notes in Math. 883, Springer, Berlin 1981. Zbl0497.03025
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  17. [17] I. Németi, Connections between cylindric algebras and initial algebra semantics of CF languages, in: Mathematical Logic in Computer Science (Proc. Coll. Salgótarján 1978), B. Dömölki and T. Gergely (eds.), Colloq. Math. Soc. J. Bolyai 26, North-Holland, Amsterdam 1981, 561-605. 
  18. [18] I. Németi and I. Sain, Cone-implicational subcategories and some Birkhoff-type theorems, in: Universal Algebra (Proc. Coll. Esztergom 1977), Colloq. Math. Soc. J. Bolyai 29, North-Holland, Amsterdam 1982, 535-578. Zbl0495.18001
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  21. [21] I. Sain, Weak products for universal algebra and model theory, Diagrammes 8 (1982), S1-S15. Zbl0525.08002

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