Block rigid almost completely decomposable groups and lattices over multiple pullback rings

DOI10.1016/0022-4049(93)90119-EzbMath0818.20065MaRDI QIDQ2367204

Manfred Dugas, David M. Arnold

Publication date: 17 August 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

endomorphism ringsalmost completely decomposable groupscategory equivalences\(R\)-latticescategory of finite rank torsion-free abelian groupsfinitely generated free \(R\)-modulesrigid set of subgroups of the additive group of rationals

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representations of orders, lattices, algebras over commutative rings (16G30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological and categorical methods for abelian groups (20K40) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15)

Related Items

Representations of finite posets and near-isomorphism of finite rank Butler 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.] ⋮ Almost split sequences for dedekind-like rings. II ⋮ Bipartite posets of finite prinjective type ⋮ Almost completely decomposable groups and integral linear algebra ⋮ Three-partite subamalgams of tiled orders of finite lattice type ⋮ A reduced Tits quadratic form and tameness of three-partite subamalgams of tiled orders

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