A note on triangular schemes for weak congruences
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 3, pp. 683-690
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Some geometrical methods, the so called Triangular Schemes and Principles, are introduced and investigated for weak congruences of algebras. They are analogues of the corresponding notions for congruences. Particular versions of Triangular Schemes are equivalent to weak congruence modularity and to weak congruence distributivity. For algebras in congruence permutable varieties, stronger properties—Triangular Principles—are equivalent to weak congruence modularity and distributivity.
Classification :
08A05, 08A30
Keywords: triangular scheme; triangular principle; weak congruence; weak congruence modularity; weak congruence distributivity
Keywords: triangular scheme; triangular principle; weak congruence; weak congruence modularity; weak congruence distributivity
@article{CMJ_2005__55_3_a9,
author = {Chajda, Ivan and \v{S}e\v{s}elja, Branimir and Tepav\v{c}evi\'c, Andreja},
title = {A note on triangular schemes for weak congruences},
journal = {Czechoslovak Mathematical Journal},
pages = {683--690},
publisher = {mathdoc},
volume = {55},
number = {3},
year = {2005},
mrnumber = {2153092},
zbl = {1081.08004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2005__55_3_a9/}
}
TY - JOUR AU - Chajda, Ivan AU - Šešelja, Branimir AU - Tepavčević, Andreja TI - A note on triangular schemes for weak congruences JO - Czechoslovak Mathematical Journal PY - 2005 SP - 683 EP - 690 VL - 55 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_2005__55_3_a9/ LA - en ID - CMJ_2005__55_3_a9 ER -
Chajda, Ivan; Šešelja, Branimir; Tepavčević, Andreja. A note on triangular schemes for weak congruences. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 3, pp. 683-690. http://geodesic.mathdoc.fr/item/CMJ_2005__55_3_a9/