Vector spaces with five distinguished subspaces

DOI10.1007/BF03323270zbMath0637.15010OpenAlexW2064246288MaRDI QIDQ1098909

Rüdiger Göbel

Publication date: 1987

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323270

zbMATH Keywords

R-modulecommutative ringsubalgebraendomorphism algebravector spaces with five distinguished subspaces

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Commutativity of matrices (15A27) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (7)

The construction of mixed modules from a theorem of linear algebra ⋮ Very decomposable Abelian groups ⋮ Endomorphism algebras of modules with distinguished partially ordered submodules over commutative rings ⋮ Endomorphism algebras of peak $I$-spaces over posets of infinite prinjective type ⋮ Modules with absolute endomorphism rings. ⋮ Four submodules suffice for realizing algebras over commutative rings ⋮ Absolutely indecomposable modules

Cites Work

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• Every cotorsion-free algebra is an endomorphism algebra
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• Endomorphism algebras of large modules with distinguished submodules
• Endomorphism algebras of vector spaces with distinguished sets of subspaces
• The existence of indecomposable abelian groups of arbitrary power
• Pathological Modules over Tame Rings
• Every Cotorsion-Free Ring is an Endomorphism Ring
• Prescribing Endomorphism Algebras, a Unified Treatment
• Endomorphism Rings of Vector Spaces and Torsion Free Abelian Groups
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring

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