Previous |  Up |  Next


Title: Indexed annihilators in lattices (English)
Author: Chajda, Ivan
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 31
Issue: 4
Year: 1995
Pages: 259-262
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: lattice
Keyword: distributive lattice
Keyword: modular lattice
Keyword: annihilator
Keyword: ideal
Keyword: indexed annihilator
MSC: 06B10
MSC: 06C05
MSC: 06D05
MSC: 06D15
idZBL: Zbl 0860.06005
idMR: MR1390584
Date available: 2008-06-06T21:29:16Z
Last updated: 2012-05-10
Stable URL:
Reference: [1] Davey, B., Nieminen, J.: Annihilators in modular lattices.Algebra Univ. 22 (1986), 154-158. MR 0870463
Reference: [2] Mandelker, M.: Relative annihilators in lattices.Duke Math. J. 40 (1970), 377-386. Zbl 0206.29701, MR 0256951


Files Size Format View
ArchMathRetro_031-1995-4_2.pdf 187.0Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo