Describing a lattice that is both orthocomplemented and modular

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  • Complemented lattice — Hasse diagram of a complemented lattice A point and a line of the Fano plane are complements, when In the mathematical discipline of order theory, a complemented lattice is a bounded lattice in which every element a …   Wikipedia

  • Map of lattices — The concept of a lattice arises in order theory, a branch of mathematics. The Hasse diagram below depicts the inclusion relationships among some important subclasses of lattices. Proofs of the relationships in the map 1. A boolean algebra is a… …   Wikipedia

  • Orthocomplemented lattice — In lattice theory, a branch of the mathematical discipline called order theory, an orthocomplemented lattice (or just ortholattice) is an algebraic structure consisting of a bounded lattice equipped with an orthocomplementation, i.e. an order… …   Wikipedia

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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

  • List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

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  • orthomodularity — noun The condition of being orthomodular …   Wiktionary

  • Continuous geometry — In mathematics, continuous geometry is an analogue of complex projective geometry introduced by von Neumann (1936, 1998), where instead of the dimension of a subspace being in a discrete set 0, 1, ..., n, it can be an element of the unit… …   Wikipedia

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