Endomorphism algebras of modules with distinguished partially ordered submodules over commutative rings
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Publication:1181419
DOI10.1016/0022-4049(91)90055-7zbMath0759.16006OpenAlexW2030432890MaRDI QIDQ1181419
Claudia Böttinger, Rüdiger Göbel
Publication date: 27 June 1992
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-4049(91)90055-7
partially ordered setendomorphism algebradistinguished submodules\(R\)-representationposets of infinite representation typerigid systems
Partial orders, general (06A06) Endomorphism rings; matrix rings (16S50) Representations of quivers and partially ordered sets (16G20)
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Cites Work
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- Four submodules suffice for realizing algebras over commutative rings
- Tame algebras and integral quadratic forms
- Fully rigid systems of modules
- Large indecomposable modules in torsion theories
- Vector spaces with five distinguished subspaces
- Very decomposable Abelian groups
- Pairs of partially ordered sets of tame representation type
- Representations of bipartite completed posets
- Partially ordered sets of finite growth
- Infinite Abelian groups, Whitehead problem and some constructions
- Partially ordered sets of finite type
- On the exact representations of partially ordered sets of finite type
- Coxeter transformations and representations of partially ordered sets
- On four subspaces of a vector space
- Purity and algebraic compactness for modules
- Endomorphism algebras of large modules with distinguished submodules
- Endomorphism algebras of vector spaces with distinguished sets of subspaces
- Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
- Modules with decompositions that complement direct summands
- Countable Butler groups and vector spaces with four distinguished subspaces
- Classification of first order theories which have a structure theorem
- Partially ordered sets of finite representation type
- Field-independent representations of partially ordered sets
- Indecomposable representations of graphs and algebras
- Pathological Modules over Tame Rings
- On pure global dimension of locally finitely presented Grothendieck categories
- PARTIALLY ORDERED SETS OF INFINITE TYPE
- Endomorphism Rings of Vector Spaces and Torsion Free Abelian Groups
- Representation of partially ordered sets
