A note on triangular schemes for weak congruences
Ivan Chajda; Branimir Šešelja; Andreja Tepavčević
Czechoslovak Mathematical Journal (2005)
- Volume: 55, Issue: 3, page 683-690
- ISSN: 0011-4642
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topChajda, Ivan, Šešelja, Branimir, and Tepavčević, Andreja. "A note on triangular schemes for weak congruences." Czechoslovak Mathematical Journal 55.3 (2005): 683-690. <http://eudml.org/doc/30978>.
@article{Chajda2005,
abstract = {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.},
author = {Chajda, Ivan, Šešelja, Branimir, Tepavčević, Andreja},
journal = {Czechoslovak Mathematical Journal},
keywords = {triangular scheme; triangular principle; weak congruence; weak congruence modularity; weak congruence distributivity; triangular scheme; triangular principle; weak congruence; weak congruence modularity; weak congruence distributivity},
language = {eng},
number = {3},
pages = {683-690},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on triangular schemes for weak congruences},
url = {http://eudml.org/doc/30978},
volume = {55},
year = {2005},
}
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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 3
SP - 683
EP - 690
AB - 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.
LA - eng
KW - triangular scheme; triangular principle; weak congruence; weak congruence modularity; weak congruence distributivity; triangular scheme; triangular principle; weak congruence; weak congruence modularity; weak congruence distributivity
UR - http://eudml.org/doc/30978
ER -
References
top- A note on the Triangular Scheme, East-West J. Math. 3 (2001), 79–80. (2001) Zbl1007.08002MR1866645
- A triangular scheme for congruence distributivity, Acta Sci. Math. (Szeged) (to appear). (to appear) MR1916565
- Shifting lemma and shifting lattice identities, Preprint. MR2026826
- Geometrical methods in congruence modular algebras, Mem. Am. Math. Soc. No. 286, 1983. (1983) Zbl0547.08006MR0714648
- 10.7146/math.scand.a-10850, Math. Scand. 21 (1967), 110–121. (1967) MR0237402DOI10.7146/math.scand.a-10850
- Weak Congruences in Universal Algebra, Institute of Mathematics, Novi Sad, 2001. (2001) MR1878678
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