# Retracts and Q-independence

Discussiones Mathematicae - General Algebra and Applications (2007)

- Volume: 27, Issue: 2, page 235-243
- ISSN: 1509-9415

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topAnna Chwastyk. "Retracts and Q-independence." Discussiones Mathematicae - General Algebra and Applications 27.2 (2007): 235-243. <http://eudml.org/doc/276837>.

@article{AnnaChwastyk2007,

abstract = {A non-empty set X of a carrier A of an algebra A is called Q-independent if the equality of two term functions f and g of the algebra A on any finite system of elements a₁,a₂,...,aₙ of X implies f(p(a₁),p(a₂),...,p(aₙ)) = g(p(a₁),p(a₂),...,p(aₙ)) for any mapping p ∈ Q. An algebra B is a retract of A if B is the image of a retraction (i.e. of an idempotent endomorphism of B). We investigate Q-independent subsets of algebras which have a retraction in their set of term functions.},

author = {Anna Chwastyk},

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

keywords = {general algebra; term function; Q-independence; M, I, S, S₀, A₁, G-independence; t-independence; retraction; retract; Stone algebra; skeleton and set of dense element of Stone algebra; Glivenko congruence; -independence; skeleton},

language = {eng},

number = {2},

pages = {235-243},

title = {Retracts and Q-independence},

url = {http://eudml.org/doc/276837},

volume = {27},

year = {2007},

}

TY - JOUR

AU - Anna Chwastyk

TI - Retracts and Q-independence

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2007

VL - 27

IS - 2

SP - 235

EP - 243

AB - A non-empty set X of a carrier A of an algebra A is called Q-independent if the equality of two term functions f and g of the algebra A on any finite system of elements a₁,a₂,...,aₙ of X implies f(p(a₁),p(a₂),...,p(aₙ)) = g(p(a₁),p(a₂),...,p(aₙ)) for any mapping p ∈ Q. An algebra B is a retract of A if B is the image of a retraction (i.e. of an idempotent endomorphism of B). We investigate Q-independent subsets of algebras which have a retraction in their set of term functions.

LA - eng

KW - general algebra; term function; Q-independence; M, I, S, S₀, A₁, G-independence; t-independence; retraction; retract; Stone algebra; skeleton and set of dense element of Stone algebra; Glivenko congruence; -independence; skeleton

UR - http://eudml.org/doc/276837

ER -

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