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Commuting elements in hom-associative algebras
Mälardalen University, School of Education, Culture and Communication.
2021 (English)Independent thesis Advanced level (degree of Master (Two Years)), 28 HE creditsStudent thesis
Abstract [en]

In this thesis, we consider hom-associative algebras, which is an algebra with multiplication that is not necessarily commutative nor associative, but obeys a twisted version of associativity by a linear homomorphism. We will give some conditions for associativity, which helps us determine commuting elements. Under other conditions, such as different types of unitality conditions, we can also state some results regarding commuting elements in the general, non-associative case. 

Place, publisher, year, edition, pages
2021. , p. 39
Keywords [en]
Hom-associative, algebra, non-commutative
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:mdh:diva-54514OAI: oai:DiVA.org:mdh-54514DiVA, id: diva2:1561069
Subject / course
Mathematics/Applied Mathematics
Presentation
2021-06-03, 13:15 (English)
Supervisors
Examiners
Available from: 2021-06-10 Created: 2021-06-05 Last updated: 2021-10-20Bibliographically approved

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fulltext(373 kB)109 downloads
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Algebra and Logic

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Citation style
  • apa
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Language
  • de-DE
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  • nn-NO
  • nn-NB
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  • Other locale
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Output format
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