Weak subalgebra lattices

Wiktor Bartol

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 3, page 405-410
  • ISSN: 0010-2628

How to cite


Bartol, Wiktor. "Weak subalgebra lattices." Commentationes Mathematicae Universitatis Carolinae 031.3 (1990): 405-410. <http://eudml.org/doc/17861>.

author = {Bartol, Wiktor},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {partial algebra; weak subalgebras; algebraic lattice; join-irreducible elements},
language = {eng},
number = {3},
pages = {405-410},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Weak subalgebra lattices},
url = {http://eudml.org/doc/17861},
volume = {031},
year = {1990},

AU - Bartol, Wiktor
TI - Weak subalgebra lattices
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 3
SP - 405
EP - 410
LA - eng
KW - partial algebra; weak subalgebras; algebraic lattice; join-irreducible elements
UR - http://eudml.org/doc/17861
ER -


  1. Bartol W., Weak sub algebra lattices of monounary partial algebras, Comment. Math. Univ. Carolinae 31 (1990), 411-414. (1990) MR1078474
  2. Birkhoff G., Frink O., Representation of lattices by sets, Trans. AMS 64 (1948), 299-316. (1948) MR0027263
  3. Burmeister P., A Model Theoretic Oriented Approach to Partial Algebras, Mathematical Research Band 32, Akademie Verlag Berlin, 1986. (1986) Zbl0598.08004MR0854861
  4. Crawley P., Dilworth R. P., Algebraic Theory of Lattices, Prentice Hall Inc., Englewood Cliffs, NJ, 1973. (1973) Zbl0494.06001
  5. Evans T., Ganter B., Varieties with modular subalgebra lattices, Bull. Austr. Math. Soc. 28 (1983), 247-254. (1983) Zbl0545.08010MR0729011
  6. Poythress V. S., Partial algebras, PhD Thesis, Harvard Univ., Cambridge, Mass., 1970. (1970) 
  7. Shapiro J., Finite equational bases for subalgebra distributive varieties, Alg. Univ. 24 (1987), 36-40. (1987) MR0921528
  8. Shapiro J., Finite algebras with Abelian properties, Alg. Univ. 25 (1988), 334-364. (1988) Zbl0654.08001MR0969156

Citations in EuDML Documents

  1. Wiktor Bartol, Weak subalgebra lattices of monounary partial algebras
  2. Konrad Pióro, On some non-obvious connections between graphs and unary partial algebras
  3. Konrad Pióro, The weak subalgebra lattice of a unary partial algebra of a given infinite unary type
  4. Konrad Pióro, Some properties of the weak subalgebra lattice of a partial algebra of a fixed type
  5. Konrad Pióro, On subalgebra lattices of a finite unary algebra. II.
  6. Konrad Pióro, On subalgebra lattices of a finite unary algebra. I.
  7. Konrad Pióro, On some unary algebras and their subalgebra lattices
  8. Konrad Pióro, On connections between hypergraphs and algebras

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.