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Decomposition of Complete Color Hom-Lie Algebras

Attari Polsangi, Ahmad Reza (author)
Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 71457-44776, Shiraz, Iran
Farhangdoost, Mohammad Reza (author)
Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 71457-44776, Shiraz, Iran
Silvestrov, Sergei, Professor, 1970- (author)
Mälardalens universitet,Utbildningsvetenskap och Matematik,MAM
Department of Mathematics, College of Sciences, Shiraz University, PO. Box 71457-44776, Shiraz, Iran Utbildningsvetenskap och Matematik (creator_code:org_t)
Springer, 2023
2023
English.
In: Non-commutative and Non-associative Algebra and Analysis Structures. - : Springer. - 9783031320088 ; , s. 101-120
  • Conference paper (peer-reviewed)
Abstract Subject headings
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  • In this paper, we study some equivalent conditions for a color hom-Lie algebra to be a complete color hom-Lie algebra. In particular, we discuss the relationship between decomposition and completness for a color hom-Lie algebra. Moreover, we check some conditions that the set of αs -derivations of a color hom-Lie algebra to be complete and simply complete. Finally, we find some conditions in which the decomposition into hom-ideals of the complete multiplicative color hom-Lie algebras is unique up to order of hom-algebra.

Subject headings

NATURVETENSKAP  -- Matematik -- Algebra och logik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Algebra and Logic (hsv//eng)

Keyword

Color hom-Lie algebra
Complete color hom-Lie algebra
Simple color hom-Lie algebra
Mathematics/Applied Mathematics
matematik/tillämpad matematik

Publication and Content Type

ref (subject category)
kon (subject category)

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