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010   $a981-13-3221-5
024 7 $a10.1007/978-981-13-3221-0
035   $a(CKB)4100000007334990
035   $a(DE-He213)978-981-13-3221-0
035   $a(MiAaPQ)EBC5627161
035   $a(EXLCZ)994100000007334990
100   $a20181230d2018      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFuzzy Lie Algebras /$fby Muhammad Akram
205   $a1st ed. 2018.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2018.
215   $a1 online resource (XIX, 302 p. 14 illus., 4 illus. in color.) 
225 1 $aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4044
311 08$a981-13-3220-7 
327   $aChapter 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.
330   $aThis book explores certain structures of fuzzy Lie algebras, fuzzy Lie superalgebras and fuzzy n-Lie algebras. In addition, it applies various concepts to Lie algebras and Lie superalgebras, including type-1 fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, vague sets and bipolar fuzzy sets. The book offers a valuable resource for students and researchers in mathematics, especially those interested in fuzzy Lie algebraic structures, as well as for other scientists. Divided into 10 chapters, the book begins with a concise review of fuzzy set theory, Lie algebras and Lie superalgebras. In turn, Chap. 2 discusses several properties of concepts like interval-valued fuzzy Lie ideals, characterizations of Noetherian Lie algebras, quotient Lie algebras via interval-valued fuzzy Lie ideals, and interval-valued fuzzy Lie superalgebras. Chaps. 3 and 4 focus on various concepts of fuzzy Lie algebras, while Chap. 5 presents the concept of fuzzy Lie ideals of a Lie algebra over a fuzzy field. Chapter 6 is devoted to the properties of bipolar fuzzy Lie ideals, bipolar fuzzy Lie subsuperalgebras, bipolar fuzzy bracket product, solvable bipolar fuzzy Lie ideals and nilpotent bipolar fuzzy Lie ideals. Chap. 7 deals with the properties of m-polar fuzzy Lie subalgebras and m-polar fuzzy Lie ideals, while Chap. 8 addresses concepts like soft intersection Lie algebras and fuzzy soft Lie algebras. Chap. 9 deals with rough fuzzy Lie subalgebras and rough fuzzy Lie ideals, and lastly, Chap. 10 investigates certain properties of fuzzy subalgebras and ideals of n-ary Lie algebras.
410  0$aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4044
606   $aAlgebra, Universal
606   $aLogic, Symbolic and mathematical
606   $aGeneral Algebraic Systems
606   $aMathematical Logic and Foundations
615  0$aAlgebra, Universal.
615  0$aLogic, Symbolic and mathematical.
615 14$aGeneral Algebraic Systems.
615 24$aMathematical Logic and Foundations.
676   $a512
700   $aAkram$b Muhammad$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767976
906   $aBOOK
912   $a9910303446603321
996   $aFuzzy Lie Algebras$91563884
997   $aUNINA