# On congruence distributivity of ordered algebras with constants

Krisztina Balog; Benedek Skublics

Discussiones Mathematicae - General Algebra and Applications (2011)

- Volume: 31, Issue: 1, page 47-59
- ISSN: 1509-9415

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topKrisztina Balog, and Benedek Skublics. "On congruence distributivity of ordered algebras with constants." Discussiones Mathematicae - General Algebra and Applications 31.1 (2011): 47-59. <http://eudml.org/doc/276515>.

@article{KrisztinaBalog2011,

abstract = {We define the order-congruence distributivity at 0 and order- congruence n-distributivity at 0 of ordered algebras with a nullary operation 0. These notions are generalizations of congruence distributivity and congruence n-distributivity. We prove that a class of ordered algebras with a nullary operation 0 closed under taking subalgebras and direct products is order-congruence distributive at 0 iff it is order-congruence n-distributive at 0. We also characterize such classes by a Mal'tsev condition.},

author = {Krisztina Balog, Benedek Skublics},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {ordered algebra; n-distributivity; distributivity; Mal'tsev condition; -distributivity},

language = {eng},

number = {1},

pages = {47-59},

title = {On congruence distributivity of ordered algebras with constants},

url = {http://eudml.org/doc/276515},

volume = {31},

year = {2011},

}

TY - JOUR

AU - Krisztina Balog

AU - Benedek Skublics

TI - On congruence distributivity of ordered algebras with constants

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2011

VL - 31

IS - 1

SP - 47

EP - 59

AB - We define the order-congruence distributivity at 0 and order- congruence n-distributivity at 0 of ordered algebras with a nullary operation 0. These notions are generalizations of congruence distributivity and congruence n-distributivity. We prove that a class of ordered algebras with a nullary operation 0 closed under taking subalgebras and direct products is order-congruence distributive at 0 iff it is order-congruence n-distributive at 0. We also characterize such classes by a Mal'tsev condition.

LA - eng

KW - ordered algebra; n-distributivity; distributivity; Mal'tsev condition; -distributivity

UR - http://eudml.org/doc/276515

ER -

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