Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2023, Cilt: 6 Sayı: 3-Supplement, 58 - 61, 15.10.2023
https://doi.org/10.33773/jum.1372208

Öz

Kaynakça

  • Yu.A. Bahturin, Identical Relations in Lie Algebras (Russian), Nauka, Moscow, 1985. Translation: VNU Science Press, Utrecht, (1987).
  • V. Drensky, Free Algebras and PI-Algebras, Springer, Singapore, (1999).
  • V. Drensky, S_. F_nd_k, Inner and outer automorphisms of free metabelian nilpotent Lie algebras. Communications in Algebra, Vol.40, No.12, pp.4389-4403 (2012).
  • E. Aydin, Pointwise inner automoprphisms of relatively free Lie algebras, Journal of Universal Mathematics, Vol.5, No.2, pp.76-80 (2022).
  • E. Aydin, On the Group of Pointwise Inner Automoprphisms, Journal of Universal Mathematics, Vol.6, No.2, pp.221-226 (2023).
  • Ş Findik, Normal and normally outer automorphisms of free metabelian nilpotent Lie algebras, Serdica Mathematical Journal, Vol.35, No.2, pp.171-210 (2010).

ABOUT GROUP OF POINTWISE INNER AUTOMORPHISMS FOR NILPOTENCY CLASS FOUR

Yıl 2023, Cilt: 6 Sayı: 3-Supplement, 58 - 61, 15.10.2023
https://doi.org/10.33773/jum.1372208

Öz

Let $L_{m,c}$ stand for the free metabelian nilpotent Lie algebra of class $c$ of rank $m$ over a field $K$ of characteristic zero.
Automorphisms of the form $\varphi(x_i)=e^{adu_i}(x_i)$ are called pointwise inner, where $e^{adu_i}$, is the inner automorphism
induced by the element $u_i\in L_{m,c}$ for each $i=1,\ldots,m$. In the present study, we investigate the group structure of
the group $\text{\rm PInn}(L_{m,4})$ of pointwise inner automorphisms of $L_{m,4}$ for nilpotency class four.

Kaynakça

  • Yu.A. Bahturin, Identical Relations in Lie Algebras (Russian), Nauka, Moscow, 1985. Translation: VNU Science Press, Utrecht, (1987).
  • V. Drensky, Free Algebras and PI-Algebras, Springer, Singapore, (1999).
  • V. Drensky, S_. F_nd_k, Inner and outer automorphisms of free metabelian nilpotent Lie algebras. Communications in Algebra, Vol.40, No.12, pp.4389-4403 (2012).
  • E. Aydin, Pointwise inner automoprphisms of relatively free Lie algebras, Journal of Universal Mathematics, Vol.5, No.2, pp.76-80 (2022).
  • E. Aydin, On the Group of Pointwise Inner Automoprphisms, Journal of Universal Mathematics, Vol.6, No.2, pp.221-226 (2023).
  • Ş Findik, Normal and normally outer automorphisms of free metabelian nilpotent Lie algebras, Serdica Mathematical Journal, Vol.35, No.2, pp.171-210 (2010).
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Cebir ve Sayı Teorisi
Bölüm Araştırma Makalesi
Yazarlar

Ela Aydın 0000-0003-4867-0583

Yayımlanma Tarihi 15 Ekim 2023
Gönderilme Tarihi 6 Ekim 2023
Kabul Tarihi 14 Ekim 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 6 Sayı: 3-Supplement

Kaynak Göster

APA Aydın, E. (2023). ABOUT GROUP OF POINTWISE INNER AUTOMORPHISMS FOR NILPOTENCY CLASS FOUR. Journal of Universal Mathematics, 6(3-Supplement), 58-61. https://doi.org/10.33773/jum.1372208
AMA Aydın E. ABOUT GROUP OF POINTWISE INNER AUTOMORPHISMS FOR NILPOTENCY CLASS FOUR. JUM. Ekim 2023;6(3-Supplement):58-61. doi:10.33773/jum.1372208
Chicago Aydın, Ela. “ABOUT GROUP OF POINTWISE INNER AUTOMORPHISMS FOR NILPOTENCY CLASS FOUR”. Journal of Universal Mathematics 6, sy. 3-Supplement (Ekim 2023): 58-61. https://doi.org/10.33773/jum.1372208.
EndNote Aydın E (01 Ekim 2023) ABOUT GROUP OF POINTWISE INNER AUTOMORPHISMS FOR NILPOTENCY CLASS FOUR. Journal of Universal Mathematics 6 3-Supplement 58–61.
IEEE E. Aydın, “ABOUT GROUP OF POINTWISE INNER AUTOMORPHISMS FOR NILPOTENCY CLASS FOUR”, JUM, c. 6, sy. 3-Supplement, ss. 58–61, 2023, doi: 10.33773/jum.1372208.
ISNAD Aydın, Ela. “ABOUT GROUP OF POINTWISE INNER AUTOMORPHISMS FOR NILPOTENCY CLASS FOUR”. Journal of Universal Mathematics 6/3-Supplement (Ekim 2023), 58-61. https://doi.org/10.33773/jum.1372208.
JAMA Aydın E. ABOUT GROUP OF POINTWISE INNER AUTOMORPHISMS FOR NILPOTENCY CLASS FOUR. JUM. 2023;6:58–61.
MLA Aydın, Ela. “ABOUT GROUP OF POINTWISE INNER AUTOMORPHISMS FOR NILPOTENCY CLASS FOUR”. Journal of Universal Mathematics, c. 6, sy. 3-Supplement, 2023, ss. 58-61, doi:10.33773/jum.1372208.
Vancouver Aydın E. ABOUT GROUP OF POINTWISE INNER AUTOMORPHISMS FOR NILPOTENCY CLASS FOUR. JUM. 2023;6(3-Supplement):58-61.