Any orthocomplemented complete modular lattice is a continuous geometry

From MaRDI portal
Publication:2653675

DOI10.2307/1969811zbMath0065.01801OpenAlexW4385792037WikidataQ55983350 ScholiaQ55983350MaRDI QIDQ2653675

Irving Kaplansky

Publication date: 1955

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1969811



Related Items

Order-topological complete orthomodular lattices, The dimension of a JBW-algebra, Strong regularity and generalized inverses in jordan systems, General geometric lattices and projective geometry of modules, Type-decomposition of a synaptic algebra, Rank completeness of rings of measurable operators affiliated with von Neumann algebras, Topological and order-topological orthomodular lattices, Spectral order of operators and range projections, Dimension Theory in Complete Orthocomplemented Weakly Modular Lattices, Unnamed Item, Derivations with values in quasi-normed bimodules of locally measurable operators, Hereditary \(C^\ast\)-subalgebra lattices, Finite tripotents and finite \(\text{JBW}^\ast\)-triples, Concentration of invariant means and dynamics of chain stabilizers in continuous geometries, Spectral lattices, On regular \({}^*\)-algebras of bounded linear operators: a new approach towards a theory of noncommutative Boolean algebras, The role of the modular pairs in the category of complete orthomodular lattice, A theory of computation based on unsharp quantum logic: finite state automata and pushdown automata, The center of a corner of a ring, Left and right projections are equivalent in Rickart \(C^*\)-algebras, Symmetric morphisms and the existence of Moore-Penrose inverses, Nearly Modular Orthocomplemented Lattices, Modularity is not canonical, Spectral order on a synaptic algebra, Bibliography on quantum logics and related structures, Distributivity and Perspectivity in Orthomodular Lattices, Order-topological separable complete modular ortholattices admit order continuous faithful valuations, Centrally orthocomplete effect algebras, Orthomodular lattices and quadratic spaces: A survey, Type-decomposition of an effect algebra, Block generalized inverses, Simple regular rings with a unique rank function, On free commutative regular rings, Rings with countably many direct summands, Rickart C* algebras. II, Generators for complemented modular lattices and the von Neumann-Jónsson coordinatization theorems, Von Neumann algebras, \(L\)-algebras, Baer*-monoids, and Garside groups, Prüfer domains and Baer rings, On the algebra of measurable operators for a general \(AW^*\)-algebra, Varieties of \(\ast\)-regular rings, Automata theory based on unsharp quantum logic, Partially ordered Baer involutive algebras, The regular ring of a finite Baer\(^*\)-ring, On the complexity of equational decision problems for finite height complemented and orthocomplemented modular lattices, Convergence structures induced by scales, On regular rings with involution, Rings of quotients of finite \(AW^{\ast}\)-algebras: representation and algebraic approximation, Unnamed Item, \(^\ast\)-Annihilators in proper \(^\ast\)-semigroups, Some Observations on Oligarchies, Internal Direct Sums, and Lattice Congruences