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ArticleOriginal scientific text

Title

A scheme for congruence semidistributivity

Authors 1, 2

Affiliations

  1. Department of Algebra and Geometry, Palacký University of Olomouc, Tomkova 40, CZ-77900 Olomouc, Czech Republic
  2. Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, H-6720 Szeged, Hungary

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.

Keywords

ENG
∧ -semidistributivity, generalized semidistribitive law, triangular scheme

Bibliography

  1. I. Chajda, G. Eigenthaler and H. Länger, Congruence Classes in Universal Algebra, Heldermann Verlag, Lemgo 2003.
  2. I. Chajda and E.K. Horváth, A triangular scheme for congruence distributivity, Acta Sci. Math. (Szeged) 68 (2002), 29-35.
  3. G. Czédli, Weak congruence semidistributivity laws and their conjugates, Acta Math. Univ. Comenian. 68 (1999), 153-170.
  4. W. Geyer, Generalizing semidistributivity, Order 10 (1993), 77-92.
  5. H.P. Gumm, Geometrical methods in congruence modular algebras, Mem. Amer. Math. Soc. 45 (1983), no. 286, viii+79 pp.
  6. K.A. Kearnes and Á. Szendrei, The relationship between two commutators, Internat. J. Algebra Comput. 8 (1998), 497-53.
  7. P. Lipparini, Characterization of varieties with a difference term, II: neutral = meet semidistributive, Canadian Math. Bull. 41 (1988), 318-327.
Discussiones Mathematicae - General Algebra and Applications
2003/23/1
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Pages:
13-18
Main language of publication
English
Received
2002-09-23
Published
2003

DOI: 10.7151/dmgaa.1060

Exact and natural sciences