Indexed annihilators in lattices
Archivum Mathematicum (1995)
- Volume: 031, Issue: 4, page 259-262
- ISSN: 0044-8753
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topChajda, Ivan. "Indexed annihilators in lattices." Archivum Mathematicum 031.4 (1995): 259-262. <http://eudml.org/doc/247696>.
@article{Chajda1995,
abstract = {The concept of annihilator in lattice was introduced by M. Mandelker. Although annihilators have some properties common with ideals, the set of all annihilators in $L$ need not be a lattice. We give the concept of indexed annihilator which generalizes it and we show the basic properties of the lattice of indexed annihilators. Moreover, distributive and modular lattices can be characterized by using of indexed annihilators.},
author = {Chajda, Ivan},
journal = {Archivum Mathematicum},
keywords = {lattice; distributive lattice; modular lattice; annihilator; ideal; indexed annihilator; indexed annihilator},
language = {eng},
number = {4},
pages = {259-262},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Indexed annihilators in lattices},
url = {http://eudml.org/doc/247696},
volume = {031},
year = {1995},
}
TY - JOUR
AU - Chajda, Ivan
TI - Indexed annihilators in lattices
JO - Archivum Mathematicum
PY - 1995
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 031
IS - 4
SP - 259
EP - 262
AB - The concept of annihilator in lattice was introduced by M. Mandelker. Although annihilators have some properties common with ideals, the set of all annihilators in $L$ need not be a lattice. We give the concept of indexed annihilator which generalizes it and we show the basic properties of the lattice of indexed annihilators. Moreover, distributive and modular lattices can be characterized by using of indexed annihilators.
LA - eng
KW - lattice; distributive lattice; modular lattice; annihilator; ideal; indexed annihilator; indexed annihilator
UR - http://eudml.org/doc/247696
ER -
References
top- Annihilators in modular lattices, Algebra Univ. 22 (1986), 154-158. (1986) MR0870463
- Relative annihilators in lattices, Duke Math. J. 40 (1970), 377-386. (1970) Zbl0206.29701MR0256951
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