On Direct Limit Closed Classes of Algebras

Emília Halušková

Bulletin of the Section of Logic (2016)

  • Volume: 45, Issue: 3/4
  • ISSN: 0138-0680

Abstract

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Axiomatic classes of algebras of a given type which are closed with respect to direct limits are studied in this paper.

How to cite

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Emília Halušková. "On Direct Limit Closed Classes of Algebras." Bulletin of the Section of Logic 45.3/4 (2016): null. <http://eudml.org/doc/295518>.

@article{EmíliaHalušková2016,
abstract = {Axiomatic classes of algebras of a given type which are closed with respect to direct limits are studied in this paper.},
author = {Emília Halušková},
journal = {Bulletin of the Section of Logic},
keywords = {algebra; direct limit; closed class; term; formula; sentence; monounary algebra},
language = {eng},
number = {3/4},
pages = {null},
title = {On Direct Limit Closed Classes of Algebras},
url = {http://eudml.org/doc/295518},
volume = {45},
year = {2016},
}

TY - JOUR
AU - Emília Halušková
TI - On Direct Limit Closed Classes of Algebras
JO - Bulletin of the Section of Logic
PY - 2016
VL - 45
IS - 3/4
SP - null
AB - Axiomatic classes of algebras of a given type which are closed with respect to direct limits are studied in this paper.
LA - eng
KW - algebra; direct limit; closed class; term; formula; sentence; monounary algebra
UR - http://eudml.org/doc/295518
ER -

References

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  1. [1] G. Grätzer, Universal Algebra. The University Series in Higher Mathematics, D. Van Nostrand, Co., Princeton, N.Y., 1968. 
  2. [2] E. Halušková, Direct limits of monounary algebras, Czechoslovak Math. J. 49 (1999), pp. 645–656. 
  3. [3] E. Halušková, M. Ploščica, On direct limits of finite algebras, Contributions to general algebra 11 (1999), Heyn, Klagenfurt, pp. 101–104. 
  4. [4] W. Hodges, Model Theory. Encyclopedia of mathematics and its applications, v. 42, Cambridge University Press, 1993. 
  5. [5] T. Ihringer, Allgemeine Algebra, B. G. Teubner Stuttgart 1988. 
  6. [6] J. Jakubík, G. Pringerová, Direct limits of cyclically ordered groups, Czechoslovak Math. J. 44 (1994), pp. 231–250. 
  7. [7] D. Jakubíková-Studenovská, J.P´ocs, Monounary algebras, P. J.Šafárik University in Košice, 2009. 
  8. [8] H. J. Keisler, Theory of Models with Generalized Atomic Formulas, The Journal of Symbolic Logic, Vol. 25, No. 1 (Mar.,1960), pp. 1–26. 
  9. [9] H. J. Keisler, C. C. Chang, Model Theory, Studies in Logic and the Foundation of Mathematics, vol. 73, Elsevier, 1992. 
  10. [10] C. Pelea, On the direct limit of a direct system of multialgebras, Discrete Mathematics 306 (2006), pp. 2916–2930. 
  11. [11] R. McKenzie, G. McNulty, W. Taylor, Algebras, Lattices, Varieties, vol. 1, Wadsworth, 1987. 

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