A decomposition of homomorphic images of nearlattices
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2006)
- Volume: 45, Issue: 1, page 43-51
- ISSN: 0231-9721
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topChajda, Ivan, and Kolařík, Miroslav. "A decomposition of homomorphic images of nearlattices." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 45.1 (2006): 43-51. <http://eudml.org/doc/32503>.
@article{Chajda2006,
abstract = {By a nearlattice is meant a join-semilattice where every principal filter is a lattice with respect to the induced order. The aim of our paper is to show for which nearlattice $\mathcal \{S\}$ and its element $c$ the mapping $\varphi _c(x) = \langle x \vee c, x \wedge _p c \rangle $ is a (surjective, injective) homomorphism of $\mathcal \{S\}$ into $[c) \times (c]$.},
author = {Chajda, Ivan, Kolařík, Miroslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {nearlattice; semilattice; distributive element; pseudocomplement; dual pseudocomplement; nearlattice; semilattice; distributive element; dual pseudocomplement},
language = {eng},
number = {1},
pages = {43-51},
publisher = {Palacký University Olomouc},
title = {A decomposition of homomorphic images of nearlattices},
url = {http://eudml.org/doc/32503},
volume = {45},
year = {2006},
}
TY - JOUR
AU - Chajda, Ivan
AU - Kolařík, Miroslav
TI - A decomposition of homomorphic images of nearlattices
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2006
PB - Palacký University Olomouc
VL - 45
IS - 1
SP - 43
EP - 51
AB - By a nearlattice is meant a join-semilattice where every principal filter is a lattice with respect to the induced order. The aim of our paper is to show for which nearlattice $\mathcal {S}$ and its element $c$ the mapping $\varphi _c(x) = \langle x \vee c, x \wedge _p c \rangle $ is a (surjective, injective) homomorphism of $\mathcal {S}$ into $[c) \times (c]$.
LA - eng
KW - nearlattice; semilattice; distributive element; pseudocomplement; dual pseudocomplement; nearlattice; semilattice; distributive element; dual pseudocomplement
UR - http://eudml.org/doc/32503
ER -
References
top- Chajda I., Kolařík M., Nearlattices, Discrete Math., submitted. Zbl1151.06004MR2446101
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