Retracts and Q-independence

Anna Chwastyk

Discussiones Mathematicae - General Algebra and Applications (2007)

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

Abstract

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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.

How to cite

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Anna 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 -

References

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