The weak subalgebra lattice of a unary partial algebra of a given infinite unary type

Konrad Pióro

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 1, page 25-44
  • ISSN: 0232-0525

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Pióro, Konrad. "The weak subalgebra lattice of a unary partial algebra of a given infinite unary type." Mathematica Slovaca 51.1 (2001): 25-44. <http://eudml.org/doc/34527>.

@article{Pióro2001,
author = {Pióro, Konrad},
journal = {Mathematica Slovaca},
keywords = {weak subalgebra; weak subalgebra lattice; unary algebra; partial algebra; graph},
language = {eng},
number = {1},
pages = {25-44},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The weak subalgebra lattice of a unary partial algebra of a given infinite unary type},
url = {http://eudml.org/doc/34527},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Pióro, Konrad
TI - The weak subalgebra lattice of a unary partial algebra of a given infinite unary type
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 1
SP - 25
EP - 44
LA - eng
KW - weak subalgebra; weak subalgebra lattice; unary algebra; partial algebra; graph
UR - http://eudml.org/doc/34527
ER -

References

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  1. BARTOL W., Weak subalgebra lattices, Comment. Math. Univ. Carolin. 31 (1990), 405-410. (1990) Zbl0711.08007MR1078473
  2. BARTOL W.-ROSSELLÓ F.-RUDAK L., Lectures on Algebras, Equations and Partiality, (F. Rosselló, ed.), Technical report B-006, Univ. de les Illes Balears, Dept. Cienc. Mat. Inform., 1992. (1992) 
  3. BERGE C., Graphs and Hypergraphs, North-Holland, Amsteгdam, 1973. (1973) Zbl0254.05101MR0357172
  4. BIRKHOFF G. FRINK O., Representation of lattices by sets, Trans. Amer. Math. Soc. 64 (1948), 299-316. (1948) MR0027263
  5. BURMEISTER P., A Model Theoretic Oriented Approach To Partial Algebras, Math. Res. 32, Akademie Verlag, Berlin, 1986. (1986) Zbl0598.08004MR0854861
  6. CRAWLEY P.-DILWORTH R. P., Algebraic Theory of Lattices, Prentice Hall Inc, Englewood Cliffs, NJ, 1973. (1973) Zbl0494.06001
  7. GRÄTZER G., Universal Algebra, (2nd ed.), Springer-Verlag, New York, 1979. (1979) MR0538623
  8. JOHNSON J.-SEIFER R. L., A Survey of Multi-unary Algebras, Mimeographed Seminar Notes, U.C Berkeleу, 1967. (1967) 
  9. JÓNSSON B., Topics in Universal Algebra, Lecture Notes in Math. 250, Springer-Verlag, New York, 1972. (1972) Zbl0225.08001MR0345895
  10. PIÓRO K., On some non-obvious connections between graphs and unary partial algebras, Czechoslovak Math. J. 50(125) (2000), 295-320. Zbl1046.08002MR1761388
  11. PIÓRO K., The weak subalgebra lattice of a unary partгal algebra of a given finite unary type, Acta Sci. Math. 65 (1999), 439-460. (1999) MR1737263

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