A new look at the Jordan-Hölder theorem for semimodular lattices
From MaRDI portal
Publication:535092
DOI10.1007/s00012-011-0104-9zbMath1216.06006OpenAlexW2091429712MaRDI QIDQ535092
Publication date: 11 May 2011
Published in: Algebra Universalis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00012-011-0104-9
Related Items
Diagrams and rectangular extensions of planar semimodular lattices ⋮ The number of slim rectangular lattices. ⋮ A convex combinatorial property of compact sets in the plane and its roots in lattice theory ⋮ Cyclic congruences of slim semimodular lattices and non-finite axiomatizability of some finite structures ⋮ What convex geometries tell about shattering-extremal systems ⋮ Factorization of elements in noncommutative rings, II ⋮ Notes on planar semimodular lattices. VII: Resections of planar semimodular lattices ⋮ Composition series of arbitrary cardinality in modular lattices and abelian categories ⋮ The geometry of discrete \(L\)-algebras ⋮ Absolute retracts for finite distributive lattices and slim semimodular lattices ⋮ Representing homomorphisms of distributive lattices as restrictions of congruences of rectangular lattices ⋮ The Jordan-Hölder theorem with uniqueness for groups and semimodular lattices ⋮ A new property of congruence lattices of slim, planar, semimodular lattices ⋮ Slim semimodular lattices. I. A visual approach ⋮ How many ways can two composition series intersect? ⋮ Semimodularity and the Jordan-Hölder theorem in posets, with applications to partial partitions ⋮ On the number of slim, semimodular lattices ⋮ Congruences and prime-perspectivities in finite lattices. ⋮ Factorizations of Elements in Noncommutative Rings: A Survey ⋮ The matrix of a slim semimodular lattice
Cites Work