Reciprocity in matroid lattices
David Sachs (1966)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Cyclotomic modular lattices”
Reciprocity in matroid lattices
Ojective ideals in modular lattices
Shriram K. Nimbhorkar, Rupal C. Shroff (2015)
Czechoslovak Mathematical Journal
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The concept of an extending ideal in a modular lattice is introduced. A translation of module-theoretical concept of ojectivity (i.e. generalized relative injectivity) in the context of the lattice of ideals of a modular lattice is introduced. In a modular lattice satisfying a certain condition, a characterization is given for direct summands of an extending ideal to be mutually ojective. We define exchangeable decomposition and internal exchange property of an ideal in a modular lattice....
On types of lattices
Iqbalunnisa (1966)
Fundamenta Mathematicae
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Length of ideals in lattices.
Ladislav Beran (1995)
Collectanea Mathematica
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On the modular relation in atomistic lattices
M. Janowitz (1970)
Fundamenta Mathematicae
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Indexed annihilators in lattices
Ivan Chajda (1995)
Archivum Mathematicum
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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 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.