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|a 9789811332210
|9 978-981-13-3221-0
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|a 10.1007/978-981-13-3221-0
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|a Akram, Muhammad.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Fuzzy Lie Algebras
|h [electronic resource] /
|c by Muhammad Akram.
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|a 1st ed. 2018.
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|a Singapore :
|b Springer Singapore :
|b Imprint: Springer,
|c 2018.
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| 300 |
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|a XIX, 302 p. 14 illus., 4 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Infosys Science Foundation Series in Mathematical Sciences,
|x 2364-4036
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|a Chapter 1. Fuzzy Lie Structures -- Chapter 2. Interval-valued Fuzzy Lie Structures -- Chapter 3. Intuitionistic Fuzzy Lie Ideals -- Chapter 4. Generalized Fuzzy Lie Subalgebras -- Chapter 5. Fuzzy Lie Structures over a Fuzzy Field -- Chapter 6. Bipolar Fuzzy Lie Structures -- Chapter 7. m−Polar Fuzzy Lie Ideals of Lie Algebras -- Chapter 8. Fuzzy Soft Lie algebras -- Chapter 9. Rough Fuzzy Lie Ideals -- Chapter 10. Fuzzy n-Lie Algebras.
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|a This book explores certain structures of fuzzy Lie algebras, fuzzy Lie superalgebras and fuzzy n-Lie algebras. In addition, it applies various concepts to Lie algebras and Lie superalgebras, including type-1 fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, vague sets and bipolar fuzzy sets. The book offers a valuable resource for students and researchers in mathematics, especially those interested in fuzzy Lie algebraic structures, as well as for other scientists. Divided into 10 chapters, the book begins with a concise review of fuzzy set theory, Lie algebras and Lie superalgebras. In turn, Chap. 2 discusses several properties of concepts like interval-valued fuzzy Lie ideals, characterizations of Noetherian Lie algebras, quotient Lie algebras via interval-valued fuzzy Lie ideals, and interval-valued fuzzy Lie superalgebras. Chaps. 3 and 4 focus on various concepts of fuzzy Lie algebras, while Chap. 5 presents the concept of fuzzy Lie ideals of a Lie algebra over a fuzzy field. Chapter 6 is devoted to the properties of bipolar fuzzy Lie ideals, bipolar fuzzy Lie subsuperalgebras, bipolar fuzzy bracket product, solvable bipolar fuzzy Lie ideals and nilpotent bipolar fuzzy Lie ideals. Chap. 7 deals with the properties of m-polar fuzzy Lie subalgebras and m-polar fuzzy Lie ideals, while Chap. 8 addresses concepts like soft intersection Lie algebras and fuzzy soft Lie algebras. Chap. 9 deals with rough fuzzy Lie subalgebras and rough fuzzy Lie ideals, and lastly, Chap. 10 investigates certain properties of fuzzy subalgebras and ideals of n-ary Lie algebras.
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|a Algebra.
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|a Mathematical logic.
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|a General Algebraic Systems.
|0 http://scigraph.springernature.com/things/product-market-codes/M1106X
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|a Mathematical Logic and Foundations.
|0 http://scigraph.springernature.com/things/product-market-codes/M24005
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9789811332203
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|i Printed edition:
|z 9789811332227
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|a Infosys Science Foundation Series in Mathematical Sciences,
|x 2364-4036
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|u https://doi.org/10.1007/978-981-13-3221-0
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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