TO‘RT O‘LCHAMLI NILPOTENT ALGEBRANING DIFFERENSIALLASHI LOKAL DIFFERENSIALLASHI
Keywords:
Differensiallash matematikaning fundamental tushunchalaridan biri hisoblanadi. Differensiallashlar algebra fanida ham muhim o‘rin tutadi. Differensiallashlarning turli umumlashmalari mavjud. Bular sarasiga antidifferensiallashlar, δ-differensiallashlar, ternar differensiallashlar va (α,β,γ)-differensiallashlar kiradi. Ushbu ishda to‘rt o‘lchamli nilpotent algebralarning differensiallashi lokal differensiallashi isboti bilan ko‘rsatilgan.Abstract
Differensiallash matematikaning fundamental tushunchalaridan biri hisoblanadi. Differensiallashlar algebra fanida ham muhim o‘rin tutadi. Differensiallashlarning turli umumlashmalari mavjud. Bular sarasiga antidifferensiallashlar, δ-differensiallashlar, ternar differensiallashlar va (α,β,γ)-differensiallashlar kiradi. Ushbu ishda to‘rt o‘lchamli nilpotent algebralarning differensiallashi lokal differensiallashi isboti bilan ko‘rsatilgan.
References
Ayupov Sh.A.,Elduque A., Kudaybergenov K.K. Local derivations and automorphisms of Cayley algebras Т.: Journal of Pure and Applied Algebra. - 2023. - 227(5), 107277.
Arzikulov F., Karimjanov. I.A. A criterion of local derivations on the seven-dimensional simple Malcev algebra. Operators and Matrices. 2022, 16(2), 495-511
Kadison R.V. Local derivations, Journal of Algebra Т.:Vol.130,p.494-509, 1990.
De Graaf W.A. Classification of nilpotent associative algebras of small dimension Т.:. Int. J. AlgebraComput. 28(1), 2018, 133-161
Islomjon B., Madyor Q. TABIIY FANLARDA MATEMATIKANI QO ‘LLANILISHI //Research and Publications. – 2024. – Т. 1. – №. 1. – С. 350-352.
O’G B. I. G. A. et al. UCH O’LCHAMLI NILPOTENT ALGEBRANING DIFFERENSIALLASHI //Science and innovation. – 2024. – Т. 3. – №. Special Issue 18. – С. 285-289.