|
|
|
|
| LEADER |
03051nmm a2200289 u 4500 |
| 001 |
EB001858753 |
| 003 |
EBX01000000000000001022849 |
| 005 |
00000000000000.0 |
| 007 |
cr||||||||||||||||||||| |
| 008 |
190101 ||| eng |
| 020 |
|
|
|a 9789811332210
|
| 100 |
1 |
|
|a Akram, Muhammad
|
| 245 |
0 |
0 |
|a Fuzzy Lie Algebras
|h Elektronische Ressource
|c by Muhammad Akram
|
| 250 |
|
|
|a 1st ed. 2018
|
| 260 |
|
|
|a Singapore
|b Springer Nature Singapore
|c 2018, 2018
|
| 300 |
|
|
|a XIX, 302 p. 14 illus., 4 illus. in color
|b online resource
|
| 505 |
0 |
|
|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
|
| 653 |
|
|
|a Mathematical logic
|
| 653 |
|
|
|a General Algebraic Systems
|
| 653 |
|
|
|a Universal algebra
|
| 653 |
|
|
|a Mathematical Logic and Foundations
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
|
|b Springer
|a Springer eBooks 2005-
|
| 490 |
0 |
|
|a Infosys Science Foundation Series in Mathematical Sciences
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-981-13-3221-0?nosfx=y
|x Verlag
|3 Volltext
|
| 082 |
0 |
|
|a 512
|
| 520 |
|
|
|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
|