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Strong Hom-associativity
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0001-6140-180X
2020 (English)In: Algebraic Structures and Applications / [ed] Sergei Silvestrov, Anatoliy Malyarenko, Milica Rancic, Springer Nature, 2020, p. 317-337Chapter in book (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
Springer Nature, 2020. p. 317-337
Series
Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009, E-ISSN 2194-1017 ; 317
Keywords [en]
Hom-associative algebra, strongly Hom-associative algebra, Rewrite system
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-49435DOI: 10.1007/978-3-030-41850-2_12Scopus ID: 2-s2.0-85087531861ISBN: 9783030418496 (print)OAI: oai:DiVA.org:mdh-49435DiVA, id: diva2:1454278
Conference
International Conference on Stochastic Processes and Algebraic Structures, SPAS 2017, 4 October 2017 through 6 October 2017
Available from: 2020-07-15 Created: 2020-07-15 Last updated: 2020-10-02Bibliographically approved

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Hellström, Lars

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