Fuzzy Lie Algebras / / by Muhammad Akram
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| Autore: |
Akram Muhammad
|
| Titolo: |
Fuzzy Lie Algebras / / by Muhammad Akram
|
| Pubblicazione: | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2018 |
| Edizione: | 1st ed. 2018. |
| Descrizione fisica: | 1 online resource (XIX, 302 p. 14 illus., 4 illus. in color.) |
| Disciplina: | 512 |
| Soggetto topico: | Algebra, Universal |
| Logic, Symbolic and mathematical | |
| General Algebraic Systems | |
| Mathematical Logic and Foundations | |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Fuzzy Lie Algebras |
| ISBN: | 981-13-3221-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910303446603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Infosys Science Foundation Series in Mathematical Sciences, . 2364-4044