A scheme for congruence semidistributivity

Ivan Chajda; Eszter K. Horváth

Discussiones Mathematicae - General Algebra and Applications (2003)

  • Volume: 23, Issue: 1, page 13-18
  • ISSN: 1509-9415

Abstract

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A diagrammatic statement is developed for the generalized semidistributive law in case of single algebras assuming that their congruences are permutable. Without permutable congruences, a diagrammatic statement is developed for the ∧-semidistributive law.

How to cite

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Ivan Chajda, and Eszter K. Horváth. "A scheme for congruence semidistributivity." Discussiones Mathematicae - General Algebra and Applications 23.1 (2003): 13-18. <http://eudml.org/doc/287671>.

@article{IvanChajda2003,
abstract = {A diagrammatic statement is developed for the generalized semidistributive law in case of single algebras assuming that their congruences are permutable. Without permutable congruences, a diagrammatic statement is developed for the ∧-semidistributive law.},
author = {Ivan Chajda, Eszter K. Horváth},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {∧ -semidistributivity; generalized semidistribitive law; triangular scheme; -semidistributivity; generalized semidistributive law},
language = {eng},
number = {1},
pages = {13-18},
title = {A scheme for congruence semidistributivity},
url = {http://eudml.org/doc/287671},
volume = {23},
year = {2003},
}

TY - JOUR
AU - Ivan Chajda
AU - Eszter K. Horváth
TI - A scheme for congruence semidistributivity
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2003
VL - 23
IS - 1
SP - 13
EP - 18
AB - A diagrammatic statement is developed for the generalized semidistributive law in case of single algebras assuming that their congruences are permutable. Without permutable congruences, a diagrammatic statement is developed for the ∧-semidistributive law.
LA - eng
KW - ∧ -semidistributivity; generalized semidistribitive law; triangular scheme; -semidistributivity; generalized semidistributive law
UR - http://eudml.org/doc/287671
ER -

References

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  1. [1] I. Chajda, G. Eigenthaler and H. Länger, Congruence Classes in Universal Algebra, Heldermann Verlag, Lemgo 2003. Zbl1014.08001
  2. [2] I. Chajda and E.K. Horváth, A triangular scheme for congruence distributivity, Acta Sci. Math. (Szeged) 68 (2002), 29-35. Zbl0997.08001
  3. [3] G. Czédli, Weak congruence semidistributivity laws and their conjugates, Acta Math. Univ. Comenian. 68 (1999), 153-170. Zbl0929.08005
  4. [4] W. Geyer, Generalizing semidistributivity, Order 10 (1993), 77-92. Zbl0813.06007
  5. [5] H.P. Gumm, Geometrical methods in congruence modular algebras, Mem. Amer. Math. Soc. 45 (1983), no. 286, viii+79 pp. Zbl0547.08006
  6. [6] K.A. Kearnes and Á. Szendrei, The relationship between two commutators, Internat. J. Algebra Comput. 8 (1998), 497-53. Zbl0923.08001
  7. [7] P. Lipparini, Characterization of varieties with a difference term, II: neutral = meet semidistributive, Canadian Math. Bull. 41 (1988), 318-327. Zbl0909.08007

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