Gröbner-Shirshov Basis of Twisted Generic Composition Algebras of Affine Type
Autor: | Gulshadam Yunus, Abdukadir Obul |
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Rok vydání: | 2017 |
Předmět: |
Algebra and Number Theory
Applied Mathematics Mathematics::Rings and Algebras 010102 general mathematics 010103 numerical & computational mathematics Basis (universal algebra) Composition (combinatorics) Type (model theory) 01 natural sciences Set (abstract data type) Algebra Affine transformation 0101 mathematics Indecomposable module Mathematics |
Zdroj: | Algebra Colloquium. 24:109-122 |
ISSN: | 0219-1733 1005-3867 |
DOI: | 10.1142/s1005386717000074 |
Popis: | In this paper, by using PBW bases for the twisted generic composition algebras of affine type, we prove that the set of the skew-commutator relations of the iso-classes of indecomposable representations forms a minimal Gröbner-Shirshov basis for the twisted generic composition algebras of affine type. |
Databáze: | OpenAIRE |
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