Abstract
In this chapter, we present the concept of fuzzy Lie ideals of a Lie algebra over a fuzzy field. We characterize the Artinian and Noetherian Lie algebras by considering their fuzzy Lie ideals over a fuzzy field. We describe \((\in , \in \vee ~ q_m)\)-fuzzy Lie subalgebras over a fuzzy field. We discuss vague Lie subalgebras over a vague field. We also present anti-fuzzy Lie sub-superalgebras over anti-fuzzy field.
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Akram, M. (2018). Fuzzy Lie Structures Over a Fuzzy Field. In: Fuzzy Lie Algebras. Infosys Science Foundation Series(). Springer, Singapore. https://doi.org/10.1007/978-981-13-3221-0_5
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DOI: https://doi.org/10.1007/978-981-13-3221-0_5
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-3220-3
Online ISBN: 978-981-13-3221-0
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