Transferral of entailment in duality theory: dualisability
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 1, pp. 41-63
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A number of new results that say how to transfer the entailment relation between two different finite generators of a quasi-variety of algebras is presented. As their consequence, a well-known result saying that dualisability of a quasi-variety is independent of the generating algebra is derived. The transferral of endodualisability is also considered and the results are illustrated by examples.
DOI :
10.1007/s10587-011-0016-z
Classification :
08A35, 08C15, 08C20
Keywords: natural duality; dualisability; endodualisability; entailment; retraction
Keywords: natural duality; dualisability; endodualisability; entailment; retraction
@article{10_1007_s10587_011_0016_z,
author = {Gouveia, Maria Joao and Haviar, Miroslav},
title = {Transferral of entailment in duality theory: dualisability},
journal = {Czechoslovak Mathematical Journal},
pages = {41--63},
publisher = {mathdoc},
volume = {61},
number = {1},
year = {2011},
doi = {10.1007/s10587-011-0016-z},
mrnumber = {2782758},
zbl = {1224.08008},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0016-z/}
}
TY - JOUR AU - Gouveia, Maria Joao AU - Haviar, Miroslav TI - Transferral of entailment in duality theory: dualisability JO - Czechoslovak Mathematical Journal PY - 2011 SP - 41 EP - 63 VL - 61 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0016-z/ DO - 10.1007/s10587-011-0016-z LA - en ID - 10_1007_s10587_011_0016_z ER -
%0 Journal Article %A Gouveia, Maria Joao %A Haviar, Miroslav %T Transferral of entailment in duality theory: dualisability %J Czechoslovak Mathematical Journal %D 2011 %P 41-63 %V 61 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0016-z/ %R 10.1007/s10587-011-0016-z %G en %F 10_1007_s10587_011_0016_z
Gouveia, Maria Joao; Haviar, Miroslav. Transferral of entailment in duality theory: dualisability. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 1, pp. 41-63. doi: 10.1007/s10587-011-0016-z
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