Endomorphism algebras of large modules with distinguished submodules

DOI10.1016/0021-8693(69)90052-0zbMath0214.05606OpenAlexW2091371679MaRDI QIDQ2545197

A. L. S. Corner

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1016/0021-8693(69)90052-0

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representations of orders, lattices, algebras over commutative rings (16G30)

Related Items (33)

Groups whose automorphisms are almost determined by their restriction to a subgroup ⋮ Automorphism groups of fields ⋮ The construction of mixed modules from a theorem of linear algebra ⋮ Vector spaces with five distinguished subspaces ⋮ Very decomposable Abelian groups ⋮ Interlacing methods and large indecomposables ⋮ McLain groups over arbitrary rings and orderings ⋮ On four subspaces of a vector space ⋮ On fixed points of central automorphisms of finite-by-nilpotent groups. ⋮ The affinity of set theory and abelian group theory. ⋮ Remarks about the history of Abelian groups in England and Germany. ⋮ On a paper of Szele and Szendrei on groups with commutative endomorphism rings ⋮ Fully rigid systems of modules ⋮ Fast freie Abelsche Gruppen mit Endomorphismenring Z ⋮ Every cotorsion-free algebra is an endomorphism algebra ⋮ Free modules with two distinguished submodules ⋮ A Class of Pure Subgroups of the Specker Group ⋮ Endomorphism algebras of modules with distinguished partially ordered submodules over commutative rings ⋮ Endomorphism algebras of peak $I$-spaces over posets of infinite prinjective type ⋮ Accessible subcategories of modules and pathological objects ⋮ Automorphism groups of feelds.II ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Some modules with nearly prescribed endomorphism rings ⋮ Representations of K-species and bimodules ⋮ Elementary Abelian p-groups as automorphism groups of infinite groups. I ⋮ Modules with absolute endomorphism rings. ⋮ Four submodules suffice for realizing algebras over commutative rings ⋮ Modular representations of p groups ⋮ Semi-rigid classes of cotorsion-free Abelian groups ⋮ Rigid families and endomorphism algebras of Kronecker modules ⋮ On Corner type endo-wild algebras. ⋮ Absolutely indecomposable modules ⋮ An endomorphism algebra realization problem and Kronecker embeddings for algebras of infinite representation type

Cites Work

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• Endomorphism algebras of vector spaces with distinguished sets of subspaces
• Verallgemeinerung eines Satzes von Alexandroff und Urysohn
• The existence of indecomposable abelian groups of arbitrary power
• The Equivalence of Certain Functors Occurring in the Representation Theory of Artin Algebras and Species
• Orders as Endomorphism Rings of Modules of the Same Rank

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