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modular element

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  • Modular lattice — Hasse diagram of N5, the smallest non modular lattice. In the branch of mathematics called order theory, a modular lattice is a lattice that satisfies the following self dual condition: Modular law x ≤ b implies… …   Wikipedia

  • Modular subgroup — In mathematics, in the field of group theory, a modular subgroup is a subgroup that is a modular element in the lattice of subgroups, where the meet operation is defined by the intersection and the join operation is defined by the subgroup… …   Wikipedia

  • Modular representation theory — is a branch of mathematics, and that part of representation theory that studies linear representations of finite group G over a field K of positive characteristic. As well as having applications to group theory, modular representations arise… …   Wikipedia

  • Modular form — In mathematics, a modular form is a (complex) analytic function on the upper half plane satisfying a certain kind of functional equation and growth condition. The theory of modular forms therefore belongs to complex analysis but the main… …   Wikipedia

  • Modular group — For a group whose lattice of subgroups is modular see Iwasawa group. In mathematics, the modular group Γ is a fundamental object of study in number theory, geometry, algebra, and many other areas of advanced mathematics. The modular group can be… …   Wikipedia

  • Modular decomposition — In graph theory, the modular decomposition is a decomposition of an undirected graph into subsets of vertices called modules. A module is a generalization of a connected component of a graph. Unlike connected components, however, one module can… …   Wikipedia

  • modular — /moj euh leuhr/, adj. 1. of or pertaining to a module or a modulus. 2. composed of standardized units or sections for easy construction or flexible arrangement: a modular home; a modular sofa. 3. Math. (of a lattice) having the property that for… …   Universalium

  • Modular arithmetic — In mathematics, modular arithmetic (sometimes called clock arithmetic) is a system of arithmetic for integers, where numbers wrap around after they reach a certain value the modulus. The Swiss mathematician Leonhard Euler pioneered the modern… …   Wikipedia

  • Modular BOM — A modular bill of materials (modular BOM) is type of bill of materials (BOM) and a critical element in defining the product structure of an end item. Modular BOMs define the component materials, documents, parts and engineering drawings needed to …   Wikipedia

  • Modular invariant of a group — In mathematics, a modular invariant of a group is an invariant of a finite group acting on a vector space of positive characteristic (usually dividing the order of the group). The study of modular invariants was originated in about 1914 by… …   Wikipedia

  • Modular lambda function — In mathematics, the elliptic modular lambda function λ(τ) is a highly symmetric holomorphic function on the complex upper half plane. It is invariant under the fractional linear action of the congruence group Γ(2), and generates the function… …   Wikipedia

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