BA’ZI BIR NILPOTENT ZINBIEL ALGEBRALARIDA ROTA – BAXTER OPERATORLARI
Keywords:
noassotsiativ algebra, vazn, operator, maydon, akslantirish.Abstract
Ushbu maqolada noassotsiativ algebra bo‘lgan 4 o‘lchamli nilpotent Zinbiel algebralarida vazni bo‘lgan Rota-Baxter operatorlari o‘rganilgan. Bundan tashqari ba’zi 4 o‘lchamli nilpotent Zinbiel algebrlarida vazni nol bo‘lgan Rota-Baxter operatorlari matritsalari qurilgan. Bunda 4 o‘lchamli nilpotent Zinbiel algebralarining 2010-yilda chop etilgan “Zinbiel algebralarining ayrim sinflari tasnifi” nomli maqoladagi tasnifidan foydalanilgan.
References
N.G.Abdujabborov, I.A.Karimjanov and M.A.Kodirova. Rota – type operators on 3 – dimensional nilpotent associative algebras. Communications in Mathematics 29 (2021) 227–241
J.Q.Adashev, B.A.Omirov and A.Kh.Khudoyberdiyev. Classifications of some classes of Zinbiel algebras. Journal of Generalized Lie Theory and Applications Vol. 4 (2010), Article ID S090601, 10 pages
G. Baxter: An analytic problem whose solution follows from a simple algebraic identity. Pac. J. Math. 10 (1960) 731–742.
X. Tang, Y. Zhang, and Q. Sun.: Rota-Baxter operators on 4-dimensional complex simple associative algebras. Appl. Math. Comput. 229 (2014) 173–186.