Subdirect products of certain varieties of unary algebras
Miroslav Ćirić; Tatjana Petković; Stojan Bogdanović
Czechoslovak Mathematical Journal (2007)
- Volume: 57, Issue: 2, page 573-578
- ISSN: 0011-4642
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topĆirić, Miroslav, Petković, Tatjana, and Bogdanović, Stojan. "Subdirect products of certain varieties of unary algebras." Czechoslovak Mathematical Journal 57.2 (2007): 573-578. <http://eudml.org/doc/31147>.
@article{Ćirić2007,
abstract = {J. Płonka in [12] noted that one could expect that the regularization $\{\mathcal \{R\}\}(K)$ of a variety $\{K\}$ of unary algebras is a subdirect product of $\{K\}$ and the variety $\{D\}$ of all discrete algebras (unary semilattices), but is not the case. The purpose of this note is to show that his expectation is fulfilled for those and only those irregular varieties $\{K\}$ which are contained in the generalized variety $\{TDir\}$ of the so-called trap-directable algebras.},
author = {Ćirić, Miroslav, Petković, Tatjana, Bogdanović, Stojan},
journal = {Czechoslovak Mathematical Journal},
keywords = {unary algebra; subdirect product; variety; directable algebra; unary algebra; subdirect product; variety; directable algebra},
language = {eng},
number = {2},
pages = {573-578},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Subdirect products of certain varieties of unary algebras},
url = {http://eudml.org/doc/31147},
volume = {57},
year = {2007},
}
TY - JOUR
AU - Ćirić, Miroslav
AU - Petković, Tatjana
AU - Bogdanović, Stojan
TI - Subdirect products of certain varieties of unary algebras
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 2
SP - 573
EP - 578
AB - J. Płonka in [12] noted that one could expect that the regularization ${\mathcal {R}}(K)$ of a variety ${K}$ of unary algebras is a subdirect product of ${K}$ and the variety ${D}$ of all discrete algebras (unary semilattices), but is not the case. The purpose of this note is to show that his expectation is fulfilled for those and only those irregular varieties ${K}$ which are contained in the generalized variety ${TDir}$ of the so-called trap-directable algebras.
LA - eng
KW - unary algebra; subdirect product; variety; directable algebra; unary algebra; subdirect product; variety; directable algebra
UR - http://eudml.org/doc/31147
ER -
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