On zero product determined algebras

DOI10.1080/03081087.2013.866668zbMath1310.15039arXiv1110.5848OpenAlexW1996943105MaRDI QIDQ2938342

Daniel Brice, Huajun Huang

Publication date: 14 January 2015

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

Full work available at URL: https://arxiv.org/abs/1110.5848

zbMATH Keywords

zero product determined algebradirect sum of algebrastensor product of algebrashomomorphic image of an algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Multilinear algebra, tensor calculus (15A69) Linear preserver problems (15A86)

Related Items (4)

Finitary incidence algebras and idealizations ⋮ Zero product determined Lie algebras ⋮ Finite dimensional zero product determined algebras are generated by idempotents ⋮ Matrix representations for a certain class of combinatorial numbers associated with Bernstein basis functions and cyclic derangements and their probabilistic and asymptotic analyses

Cites Work

• Idempotent elements determined matrix algebras
• A class of zero product determined Lie algebras
• On bilinear maps on matrices with applications to commutativity preservers.
• On maps preserving zero Jordan products.
• Zero product determined matrix algebras
• Zero product determined classical Lie algebras
• Maps preserving zero products
• Mappings preserving zero products

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