Zero product determined triangular algebras

DOI10.1080/03081087.2012.703193zbMath1271.15010OpenAlexW2064429948MaRDI QIDQ5300059

Hoger Ghahramani

Publication date: 24 June 2013

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.703193

zbMATH Keywords

linear preserver problemcommutativityzero product determined algebratriangular algebrabilinear maplinear mapzero Jordan product determined algebrazero Lie product determined algebra(block) upper triangular matrix algebra

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Linear transformations, semilinear transformations (15A04) Jordan structures associated with other structures (17C50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Linear preserver problems (15A86)

Related Items (7)

Characterizing Jordan maps on triangular rings through commutative zero products ⋮ Generalized skew derivations on triangular algebras determined by action on zero products ⋮ Unnamed Item ⋮ Generalized derivations on unital algebras determined by action on zero products. ⋮ Characterizations of linear mappings through zero products or zero Jordan products ⋮ Green's function of the problem of bounded solutions in the case of a block triangular coefficient ⋮ ON RINGS DETERMINED BY ZERO PRODUCTS

Cites Work

• Jordan all-derivable points in the algebra of all upper triangular matrices
• Idempotent elements determined matrix algebras
• Derivations modulo elementary operators.
• A class of zero product determined Lie algebras
• On bilinear maps on matrices with applications to commutativity preservers.
• Zero product determined matrix algebras
• Characterizations of derivations on triangular rings: additive maps derivable at idempotents
• On bilinear maps determined by rank one idempotents
• Triangular matrix representations
• Commuting traces and commutativity preserving maps on triangular algebras.
• Linear maps preserving zero products on nest subalgebras of von Neumann algebras
• Zero product determined classical Lie algebras
• Maps preserving zero products
• A Generalization of the Ring of Triangular Matrices
• Idempotents and completely semiprime ideals
• Characterizing Jordan maps on C*-algebras through zero products
• Characterizing homomorphisms and derivations on C*-algebras

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