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Lattices generated by modular element

Russian Mathematics, 2015
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Variety Invariants for Modular Lattices

Canadian Journal of Mathematics, 1969
A variety (primitive class) is a class of abstract algebras which is closed under the formation of subalgebras, homomorphic images, and products. For a given variety we shall call a function μ*, which assigns to each algebra a natural number or ∞, denoted by μ*(A), a variety invariant if for every natural number n the class of all with μ*(A) ≦ n is ...
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Congruence lattices of complemented modular lattices

Algebra Universalis, 1984
The main result asserts: for every finite distributive lattice D there exists a complemented modular lattice K such that the congruence lattice of K is isomorphic to D and K is a sublattice of the lattice of all subspaces of a countably infinite dimensional vector space over the two element field.
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Lattice uniformities and modular functions on orthomodular lattices

Order, 1995
Traynor's decomposition for group-valued set functions is generalized to exhaustive modular functions. It is shown that the lattice of exhaustive (lattice-) uniformities on an orthomodular lattice \(L\) is a complete Boolean algebra isomorphic to the centre of a quotient completion of \(L\).
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Porous organic cages: soluble, modular and molecular pores

Nature Reviews Materials, 2016
Tom Hasell, Andrew Cooper
exaly  

The discovery of modular binding domains: building blocks of cell signalling

Nature Reviews Molecular Cell Biology, 2015
Bruce J Mayer
exaly  

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