Modyfications of Csákány's Theorem
Discussiones Mathematicae - General Algebra and Applications (2000)
- Volume: 20, Issue: 1, page 37-41
- ISSN: 1509-9415
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Abstract
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topIvan Chajda. "Modyfications of Csákány's Theorem." Discussiones Mathematicae - General Algebra and Applications 20.1 (2000): 37-41. <http://eudml.org/doc/287684>.
@article{IvanChajda2000,
abstract = {Varieties whose algebras have no idempotent element were characterized by B. Csákány by the property that no proper subalgebra of an algebra of such a variety is a congruence class. We simplify this result for permutable varieties and we give a local version of the theorem for varieties with nullary operations.},
author = {Ivan Chajda},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {congruence class; idempotent element; permutable variety; Mal'cev condition; congruences; idempotent elements},
language = {eng},
number = {1},
pages = {37-41},
title = {Modyfications of Csákány's Theorem},
url = {http://eudml.org/doc/287684},
volume = {20},
year = {2000},
}
TY - JOUR
AU - Ivan Chajda
TI - Modyfications of Csákány's Theorem
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2000
VL - 20
IS - 1
SP - 37
EP - 41
AB - Varieties whose algebras have no idempotent element were characterized by B. Csákány by the property that no proper subalgebra of an algebra of such a variety is a congruence class. We simplify this result for permutable varieties and we give a local version of the theorem for varieties with nullary operations.
LA - eng
KW - congruence class; idempotent element; permutable variety; Mal'cev condition; congruences; idempotent elements
UR - http://eudml.org/doc/287684
ER -
References
top- [1] I. Chajda and J. Duda, Compact universal relation in varieties with constants, Czechoslovak Math. J. 47 (1997), 173-178. Zbl0897.08007
- [2] B. Csákány, Varieties whose algebras have no idempotent elements, Colloq. Math. 35 (1976), 201-203. Zbl0331.08002
- [3] J. Kollár, Congruences and one-element subalgebras, Algebra Universalis 9 (1979), 266-267. Zbl0407.08002
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