On some unary algebras and their subalgebra lattices

Konrad Pióro

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 3, page 255-273
  • ISSN: 0232-0525

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Pióro, Konrad. "On some unary algebras and their subalgebra lattices." Mathematica Slovaca 56.3 (2006): 255-273. <http://eudml.org/doc/34619>.

@article{Pióro2006,
author = {Pióro, Konrad},
journal = {Mathematica Slovaca},
keywords = {directed graph; undirected graph; weak subalgebra; strong subalgebra; subalgebra lattices; unary algebra; partial unary algebra},
language = {eng},
number = {3},
pages = {255-273},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On some unary algebras and their subalgebra lattices},
url = {http://eudml.org/doc/34619},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Pióro, Konrad
TI - On some unary algebras and their subalgebra lattices
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 3
SP - 255
EP - 273
LA - eng
KW - directed graph; undirected graph; weak subalgebra; strong subalgebra; subalgebra lattices; unary algebra; partial unary algebra
UR - http://eudml.org/doc/34619
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., Weak subalgebra lattices of monounary partial algebras, Comment. Math. Univ. Carolin. 31 (1990), 411-414. (1990) Zbl0711.08007MR1078474
  3. BERGE C., Graphs and Hypergraphs, North-Holland, Amsterdam, 1973. (1973) Zbl0254.05101MR0357172
  4. BARTOL W.-ROSSELLÓ F.-RUDAK L., Lectures on Algebras, Equations and Partiality, (F. Rosselló, ed.), Technical Report B-006, Dept. Ciencies Mat. Inf., Univ. Illes Balears, 1992. (1992) 
  5. BURMEISTER P., A Model Theoretic Oriented Approach To Partial Algebras. Introduction to Theory and Application of Partial Algebras, Part I. 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. JÓNSSON B., Topics in Universal Algebra, Lecture Notes in Math. 250, Springer-Verlag, New York, 1972. (1972) Zbl0225.08001MR0345895
  8. MCKENZIE R. N.-MCNULTY G. F.-TAYLOR W. F., Algebras, Lattices, Varieties, Vol. I, Wadsworth & Brooks/Cole Math. Ser., Wadsworth Sc Brooks/Cole Advance Books &: Software, Montereу, California, 1987. (1987) MR0883644
  9. PIÓRO K., On some non-obvious connections between graphs and partial unary algebras, Czechoslovak Math. J. 50(125) (2000), 295-320. MR1761388
  10. PIÓRO K., On the subalgebra lattice of unary algebras, Acta Math. Hungar. 84 (1999), 27-45. (1999) Zbl0988.08004MR1696550
  11. PIÓRO K., On a strong property of the weak subalgebra lattice, Algebra Universalis 40 (1998), 477-495. (1998) Zbl0936.08002MR1681837
  12. ORE O., Theory of Graphs, Amer. Math. Soc. Colloq. Publ. 38, Amer. Math. Soc, Providence, RI, 1962. (1962) Zbl0105.35401MR0150753
  13. ROBBINS H. E., A theorem on graphs with application to a problem of traffic, Amer. Math. Monthly 46 (1939), 281-283. (1939) MR1524589

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