Countable Butler groups and vector spaces with four distinguished subspaces

DOI10.1016/0021-8693(91)90199-IzbMath0724.20035MaRDI QIDQ2644775

Bernhard Thomé, Manfred Dugas

Publication date: 1991

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

zbMATH Keywords

endomorphismsrealizationdistinguished subspacescountable ringcategory of K-vector spacescountable rank Butler groupfour-subspace-theoremrigid family

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Morphisms of commutative rings (13B10) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (9)

Butler groups with finite typesets and free groups with distinguished subgroups ⋮ Automorphism groups of fields ⋮ Endomorphism rings of \(B_2\)-groups of infinite rank ⋮ Free modules with two distinguished submodules ⋮ Endomorphism algebras of modules with distinguished partially ordered submodules over commutative rings ⋮ Endomorphism algebras of peak $I$-spaces over posets of infinite prinjective type ⋮ Automorphism groups of feelds.II ⋮ Representations over PID’s with three distinguished submodules ⋮ Indecomposable Butler groups of large cardinalities

Cites Work

• Endomorphism algebras of vector spaces with distinguished sets of subspaces
• Butler Groups of Infinite Rank II
• Every Cotorsion-Free Ring is an Endomorphism Ring
• Endomorphism Rings of Vector Spaces and Torsion Free Abelian Groups
• A Class of Torsion-Free Abelian Groups of Finite Rank
• Three examples on hopficity in torsion-free abelian groups
• ON ENDOMORPHISM RINGS OF PRIMARY ABELIAN GROUPS
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Countable Butler groups and vector spaces with four distinguished subspaces