ASIMPTOTIK DIFFERENSIALANUVCHI FUNKSIYALAR ALGEBRASIDA YO’LAKLARNI SAQLOVCHI LOKAL AVTOMORFIZMLAR

Mualliflar

  • Karimov Hakimbek Karimovich Berdaq nomidagi Qoraqalpoq Davlat Universiteti Algebra va Funksional analiz kafedrasi assistenti. Muallif
  • Zuhra Ollanazarova Qoraqalpoq Davlat Universiteti 2-kurs magistranti. Muallif

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Asimptotik differensial algebra, lokal avtomorfizm, differensial operator, idempotent, yo’laklarni saqlash.

Abstrak

Ushbu maqolada asimptotik differensial algebralar strukturasi tadqiq qilinadi. Asosiy e’tibor yo’laklarni saqlovchi lokal avtomorfizmlarning differensial operator bilan kommutativlik xossasiga qaratilgan. Tadqiqot natijasida, agar global avtomorfizmlar differensial operator bilan kommutativ bo’lsa, lokal avtomorfizmlar ham ushbu xossani saqlashi isbotlangan. Shuningdek, murakkab funksiyalar differensialining saqlanishi masalasi ko’rib chiqilgan

Iqtiboslar

Ayupov, Sh. A., Kudaybergenov, K. K., Karimov, Kh. K. (2022). Isomorphisms of commutative regular algebras. Positivity, 26(11), 1-15.

Ayupov, Sh. A., Kudaybergenov, K. K., Karimov, Kh. K. (2023). Isomorphism between the algebra of measurable functions and its subalgebra of approximately differentiable functions. Vladikavkaz Mathematical Journal, 25(2), 25-37.

Ber, A. F., Kudaybergenov, K. K., Sukochev, F. A. (2022). Derivations of Murray-von Neumann algebras. Journal für die Reine und Angewandte Mathematik, 791(10), 283-301.

Bouzar, C., Slimani, M. (2023). Asymptotic automorphisms in differential algebras. Vladikavkaz Mathematical Journal, 25(2), 24-36.

Johnson, B. E. (1969). Local automorphisms of operator algebras. Journal of Functional Analysis, 3(2), 171-186.

Kadison, R. V., Liu, Z. (2014). A note on derivations of Murray-von Neumann algebras. Proceedings of the National Academy of Sciences U.S.A., 111(6), 2087-2093.

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Nashr qilingan

2026-04-06

Iqtibos keltirish tartibi

ASIMPTOTIK DIFFERENSIALANUVCHI FUNKSIYALAR ALGEBRASIDA YO’LAKLARNI SAQLOVCHI LOKAL AVTOMORFIZMLAR. (2026). Yevroosiyo Matematik Nazariya Va Kompyuter Fanlari Jurnali, 6(4), 5-9. https://in-academy.uz/index.php/EJMTCS/article/view/95