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Homomorphisms and Related Maps

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Zero Product Determined Algebras

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

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Abstract

It is fairly obvious that the zpd condition can be useful in the consideration of linear maps between associative algebras that preserve either zero products or commutativity. Moreover, its introduction was partially motivated by these two topics. It is therefore natural to discuss them in the first two sections of this final part of the book, which is devoted to demonstrating the usefulness of the zpd concept. In the last and third section of this chapter, we will consider the problem of describing Jordan homomorphisms in zpd algebras. The common feature of all the three topics of this chapter is that they involve homomorphism-like maps.

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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). Homomorphisms and Related Maps. In: Zero Product Determined Algebras. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-80242-4_7

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