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Generalization of n...
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Ataguema, H.Universit́e de Haute Alsace, France
(författare)
Generalization of n-ary Nambu algebras and beyond
- Artikel/kapitelEngelska2009
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AIP Publishing,2009
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LIBRIS-ID:oai:DiVA.org:mdh-22078
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https://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-22078URI
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https://doi.org/10.1063/1.3167801DOI
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https://lup.lub.lu.se/record/1490682URI
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Språk:engelska
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Sammanfattning på:engelska
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The aim of this paper is to introduce n-ary Hom-algebra structures generalizing the n-ary algebras of Lie type including n-ary Nambu algebras, n-ary Nambu-Lie algebras and n-ary Lie algebras, and n-ary algebras of associative type including n-ary totally associative and n-ary partially associative algebras. We provide examples of the new structures and present some properties and construction theorems. We describe the general method allowing one to obtain an n-ary Hom-algebra structure starting from an n-ary algebra and an n-ary algebra endomorphism. Several examples are derived using this process. Also we initiate investigation of classification problems for algebraic structures introduced in the article and describe all ternary three-dimensional Hom-Nambu-Lie structures with diagonal homomorphism.
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Makhlouf, A.Universit́e de Haute Alsace, France
(författare)
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Silvestrov, S. D.,1970-Lund University,Lunds universitet,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH,Mathematics/Applied Mathematics(Swepub:lu)math-ssi
(författare)
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Universit́e de Haute Alsace, FranceMatematikcentrum
(creator_code:org_t)
Sammanhörande titlar
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Ingår i:Journal of Mathematical Physics: AIP Publishing50:8, s. Article number 083501-0022-24881089-7658
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