Acyclic modular lattices and their representations

DOI10.1016/0021-8693(91)90061-CzbMath0725.16014MaRDI QIDQ2277553

Marcel Wild, Christian Herrmann

Publication date: 1991

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

linear representationfinite representation typesecond Brauer-Thrall conjectureacyclic latticesdirectly indecomposable representationsfinite 2-distributive modular latticesfinitely generated modular lattice

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20) Combinatorial aspects of matroids and geometric lattices (05B35) Modular lattices, Desarguesian lattices (06C05)

Related Items (13)

A geometric description of modular lattices ⋮ Alan Day's work on modular and arguesian lattices ⋮ The minimal number of join irreducibles of a finite modular lattice ⋮ Enveloping ringoids ⋮ On the congruence problem in infinite dimensional sesquilinear spaces ⋮ HOMOGENEOUS BIJECTIONS THAT INDUCE AUTOMORPHISMS OF THE SUBMODULE LATTICE ⋮ On the contraction of vectorial lattice representations ⋮ On the number of join irreducibles and acyclicity in finite modular lattices ⋮ Cover-preserving order embeddings into Boolean lattices ⋮ Cover preserving embedding of modular lattices into partition lattices ⋮ Structural matrix algebras and their lattices of invariant subspaces ⋮ Tight embedding of modular lattices into partition lattices: progress and program ⋮ On perfect pairs for quadruples in complemented modular lattices and concepts of perfect elements

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