A criterion for pure simplicity

DOI10.1016/0021-8693(90)90251-IzbMath0703.16005MaRDI QIDQ915833

Elsie Sterbin Gottlieb

Publication date: 1990

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

zbMATH Keywords

embeddingreductionrational functionstorsion-free modulelinear functionalspurely simple Kronecker extension

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Associative rings of functions, subdirect products, sheaves of rings (16S60) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (3)

Curves arising from Kronecker modules. ⋮ Strongly irreducible operators and indecomposable representations of quivers on infinite-dimensional Hilbert spaces ⋮ A family of commutative endomorphism algebras

Cites Work

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• Tame algebras and integral quadratic forms
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• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Rational functions and kronecker modules
• Extensions that are Submodules of their Quotients
• A Bound on the Rank of Purely Simple Systems
• Indecomposable representations of graphs and algebras
• Algebraic spectral problems
• On Algebraic Equivalence Between Pairs of Linear Transformations
• Finite-dimensional perturbations of spectral problems and variational approximation methods for eigenvalue problems. Part I. Finite-dimensional perturbations
• A Purity Criterion for Pairs of Linear Transformations

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