Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, Number 3, Pages 54–68 (Mi basm294)  
Vague Lie ideals of Lie algebras

D. R. Prince Williamsa, Arsham Borumand Saeidb

a Department of Information Technology, College of Applied Sciences (Ministry of Higher Education), Sohar, Sultanate of Oman
b Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
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Abstract: In this paper, we have introduced the notion of vague Lie ideal and have studied their related properties. The cartesian products of vague Lie ideals are discussed. In particular, the Lie homomorphisms between the vague Lie ideals of a Lie algebra and the relationship between the domains and the co-domains of the vague Lie ideals under these Lie homomorphisms are investigated.
Keywords and phrases: Lie ideal, vague Lie ideal, Lie homomorphism.
Received: 19.01.2011
Bibliographic databases:
Document Type: Article
MSC: 08A72, 17B99, 03E72
Language: English
Citation: D. R. Prince Williams, Arsham Borumand Saeid, “Vague Lie ideals of Lie algebras”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2011, no. 3, 54–68
Citation in format AMSBIB
\Bibitem{WilBor11}
\by D.~R.~Prince Williams, Arsham~Borumand Saeid
\paper Vague Lie ideals of Lie algebras
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2011
\issue 3
\pages 54--68
\mathnet{http://mi.mathnet.ru/basm294}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2952654}
\zmath{https://zbmath.org/?q=an:1256.17013}
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