The Picard group of a structural matrix algebra

DOI10.1016/S0024-3795(99)00200-1zbMath0973.16012MaRDI QIDQ1970493

Jeremy Haefner, Trae Holcomb

Publication date: 29 August 2001

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Morita equivalencesinner automorphismsPicard groupsincidence algebrasouter automorphismsgroup graded ringsstructural matrix algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representations of orders, lattices, algebras over commutative rings (16G30) Automorphisms and endomorphisms (16W20) Graded rings and modules (associative rings and algebras) (16W50) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Twisted and skew group rings, crossed products (16S35)

Related Items (2)

Formal matrix rings: Automorphisms ⋮ Automorphisms and involutions on incidence algebras

Cites Work

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• Isomorphisms between endomorphism rings of progenerators
• Automorphisms of algebras of upper triangular matrices
• Automorphisms of matrix algebras over commutative rings
• The automorphism group of a structural matrix algebra
• Graded Morita theory for infinite groups
• Reduction techniques for strongly graded rings and finite representation type. I: Bounded functors and graded equivalence
• Graded equivalence theory with applications
• Automorphisms and higher derivations of incidence algebras
• Donovan's conjecture, crossed products and algebraic group actions
• Automorphisms of separable algebras
• Induced crossed products
• Square-free algebras and their automorphism groups
• (Self-)duality and the picard group
• On when a graded ring is graded equivalent to a crossed product
• Structure of incidence algebras and their automorphism groups
• Automorphisms and derivations of incidence algebras

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