Isomorphisms between endomorphism rings of progenerators

DOI10.1016/0021-8693(84)90170-4zbMath0554.16009OpenAlexW2036123829MaRDI QIDQ759822

Michael L. Bolla

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90170-4

zbMATH Keywords

automorphismscategory equivalencesprogeneratorsautoequivalencesring isomorphismsisomorphisms between matrix ringssemilinear maps

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Homological algebra in category theory, derived categories and functors (18G99)

Related Items (20)

Endomorphisms of Right Ideals of the Weyl Algebra ⋮ On torsion theories induced by tilting modules ⋮ ENHANCED FINITE TRIANGULATED CATEGORIES ⋮ Cryptographic algorithms on groups and algebras ⋮ Isomorphisms of endomorphism rings of projective generators ⋮ Line bundles and the Thom construction in noncommutative geometry ⋮ Anti-isomorphisms of graded endomorphism rings of graded modules close to free ones. ⋮ The Picard group of a structural matrix algebra ⋮ Mutations and the derived Picard group of the Brauer star algebra ⋮ Derived Picard groups of selfinjective Nakayama algebras ⋮ Isomorphisms of graded endomorphism rings of progenerators. ⋮ The Picard Group of Corings ⋮ Ibn for graded rings ⋮ Isomorphisms and anti-isomorphisms of endomorphism rings of graded modules close to free ones. ⋮ Homomorphisms of linear groups over rings ⋮ Antiisomorphisms of endomorphism rings of modules close to free ones which are induced by Morita antiequivalences ⋮ (Self-)duality and the picard group ⋮ Picard groups and infinite matrix rings ⋮ Isomorphisms between infinite matrix rings ⋮ Isomorphisms of general linear groups over rings

Cites Work

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• Category-Isomorphisms and Endomorphism Rings of Modules
• Projective Modules Over Rings with Many Units
• Automorphisms of GL n (R)
• The Picard Group of Noncommutative Rings, in Particular of Orders
• Introduction to Algebraic K-Theory. (AM-72)

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