# 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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