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On Generalization of Modular Lattices
We introduce the concepts of dually balanced lattices and \(M\)-lattices and provide some basic properties of these classes of lattices. Both classes can be viewed as generalizations of the well-known class of modular lattices.
Stocka, Agnieszka
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Production Equilibria in Vector Lattices [PDF]
The general purpose of this paper is to prove quasiequilibrium existence theorems for production economies with general consumption sets in an infinite dimensional commodity space, without assuming any monotonicity of preferences or free-disposal in ...
Monique Florenzano, Valeri Marakulin
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Aggregation and residuation [PDF]
In this paper, we give a characterization of meet-projections in simple atomistic lattices that generalizes results on the aggregation of partitions in cluster analysis.Aggregation theory, dependence relation, meet-projection, partition, residual map ...
Bruno Leclerc, Bernard Monjardet
core
, 2012 In lattice theory the two well known equational class of lattices are the distributive lattices and the modular lattices. All distributive lattices are modular however a modular lattice in general is not distributive.
Kandasamy, W.B. Vasantha +2 more
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Modular curves, modular forms, lattices, Galois representations
, 2011 This chapter provides the necessary background concerning modular curves and modular forms. It covers modular curves, modular forms, lattices and modular forms, Galois representations attached to eigenforms, and Galois representations over finite fields ...
Bas Edixhoven
exaly +2 more sources
Some of the next articles are maybe not open access.
Finitely Generated Lattices with Completely Modular Elements among Generators
Algebra and Logic, 2014M P Shushpanov
exaly
Optimal implicational bases for finite modular lattices
Quaestiones Mathematicae, 2000Marcel Wild
exaly
Big lattices of hereditary and natural classes of linear modular lattices
Algebra Universalis, 2021exaly