Classifying two-dimensional hyporeductive triple algebra

Two-dimensional real hyporeductive triple algebras (h.t.a.) are investigated. A classification of such algebras is presented. As a consequence, a classification of two-dimensional real Lie triple algebras (i.e., generalized Lie triple systems) and two-dimensional real Bol algebras is given .

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Main Author: A. Nourou Issa
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/13527
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author A. Nourou Issa
author_facet A. Nourou Issa
author_sort A. Nourou Issa
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description Two-dimensional real hyporeductive triple algebras (h.t.a.) are investigated. A classification of such algebras is presented. As a consequence, a classification of two-dimensional real Lie triple algebras (i.e., generalized Lie triple systems) and two-dimensional real Bol algebras is given .
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1687-0425
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publishDate 2006-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-66af117f7a074fdfbbda409dbb37ae0d2025-08-20T02:23:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/1352713527Classifying two-dimensional hyporeductive triple algebraA. Nourou Issa0Département de Mathématiques, Université d'Abomey-Calavi, Cotonou 01 BP 4521, BeninTwo-dimensional real hyporeductive triple algebras (h.t.a.) are investigated. A classification of such algebras is presented. As a consequence, a classification of two-dimensional real Lie triple algebras (i.e., generalized Lie triple systems) and two-dimensional real Bol algebras is given .http://dx.doi.org/10.1155/IJMMS/2006/13527
spellingShingle A. Nourou Issa
Classifying two-dimensional hyporeductive triple algebra
International Journal of Mathematics and Mathematical Sciences
title Classifying two-dimensional hyporeductive triple algebra
title_full Classifying two-dimensional hyporeductive triple algebra
title_fullStr Classifying two-dimensional hyporeductive triple algebra
title_full_unstemmed Classifying two-dimensional hyporeductive triple algebra
title_short Classifying two-dimensional hyporeductive triple algebra
title_sort classifying two dimensional hyporeductive triple algebra
url http://dx.doi.org/10.1155/IJMMS/2006/13527
work_keys_str_mv AT anourouissa classifyingtwodimensionalhyporeductivetriplealgebra