scientific article; zbMATH DE number 4120413
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Publication:4734019
zbMath0684.20041MaRDI QIDQ4734019
Publication date: 1989
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surveyfinite representation typeButler groupspure subgroupsrepresentations of finite posetscategory equivalencetorsion-free abelian groupsdirect sums of rational groupstypesetfinite valuated p-groupsstrongly indecomposable T-Butler groupsT-Butler groups
Partial orders, general (06A06) Representation theory of lattices (06B15) Torsion-free groups, finite rank (20K15)
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Prinjective Ringel-Hall algebras for posets of finite prinjective type. ⋮ Representations of finite posets and near-isomorphism of finite rank Butler groups ⋮ Dualities for locally completely decomposable Abelian groups ⋮ Generic extensions of prinjective modules ⋮ Countable Butler groups and vector spaces with four distinguished subspaces ⋮ Tame prinjective type and Tits form of two-peak posets. I ⋮ Monomorphism categories associated with symmetric groups and parity in finite groups. ⋮ Representation types of the category of subprojective representations of a finite poset over \(K[t/(t^m)\) and a solution of a Birkhoff type problem.] ⋮ László Fuchs -- A personal evaluation of his contributions to mathematics ⋮ Chain categories of modules and subprojective representations of posets over uniserial algebras. ⋮ Endomorphism algebras of modules with distinguished partially ordered submodules over commutative rings ⋮ Invariants for classes of indecomposable representations of finite posets ⋮ A specialization of prinjective Ringel-Hall algebra and the associated Lie algebra. ⋮ Abelian groups ⋮ Poset block equivalence of integral matrices ⋮ Degenerations in a class of matrix varieties and prinjective modules ⋮ Four submodules suffice for realizing algebras over commutative rings ⋮ Bipartite posets of finite prinjective type ⋮ Three-partite subamalgams of tiled orders of finite lattice type ⋮ Quasi-isomorphism and \(\mathbb{Z}_{(2)}\)-representations for a class of Butler groups. ⋮ Posets of finite prinjective type and a class of orders
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