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Miscellany

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Zero Product Determined Algebras

Part of the book series: Frontiers in Mathematics ((FM))

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Abstract

In this last chapter, we consider three unrelated topics in which the zpd property has turned out useful. The first topic concerns the connection between commutators and elements having square zero or having some related property. The second topic concerns conditions on n-linear functionals that arose from the study of orthogonally additive polynomials. The last and third topic concerns nonassociative products on the linear space of square matrices that are related to the standard product in the Lie-theoretic sense.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia

    Matej Brešar

  2. Faculty of Natural Sciences and Mathematics, University of Maribor, Maribor, Slovenia

    Matej Brešar

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  1. Matej Brešar
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Brešar, M. (2021). Miscellany. In: Zero Product Determined Algebras. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-80242-4_9

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