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Strong Hom-Associativity

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Algebraic Structures and Applications (SPAS 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 317))

Abstract

The concept of an algebra being hom-associative is examined, and found to allow some awkward complications. A modified concept of strong hom-associativity is introduced to eliminate those quirks. It is proved that the basic “Yau twist” construction of a hom-associative algebra from an associative algebra does in fact produce strongly hom-associative algebras. It is proved that the axioms for a strongly hom-associative algebra yields a confluent rewrite system, and a basis for the free strongly hom-associative algebra is given a finite presentation through a parsing expression grammar.

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Author information

Authors and Affiliations

  1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Box 883, 72123, Västerås, Sweden

    Lars Hellström

Authors
  1. Lars Hellström
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Correspondence to Lars Hellström .

Editor information

Editors and Affiliations

  1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Sergei Silvestrov

  2. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Anatoliy Malyarenko

  3. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Milica Rančić

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Hellström, L. (2020). Strong Hom-Associativity. In: Silvestrov, S., Malyarenko, A., Rančić, M. (eds) Algebraic Structures and Applications. SPAS 2017. Springer Proceedings in Mathematics & Statistics, vol 317. Springer, Cham. https://doi.org/10.1007/978-3-030-41850-2_12

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