Lie Ideals and Homoderivations in Semiprime Rings

Hummdi A. Y., BEDİR Z., Sögütcü E. K., GÖLBAŞI Ö., Rehman N. u.

Mathematics, cilt.13, sa.4, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 4
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3390/math13040548
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: commutativity, derivation, homoderivation, Lie ideal, semiprime ring
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

Let S be a 2-torsion free semiprime ring and U be a noncentral square-closed Lie ideal of (Formula presented.) An additive mapping ℏ on S is defined as a homoderivation if (Formula presented.) for all (Formula presented.) In the present paper, we shall prove that ℏ is a commuting map on U if any one of the following holds: (i) (Formula presented.) (ii) (Formula presented.) (iii) (Formula presented.) (iv) (Formula presented.) (v) (Formula presented.) (vi) (Formula presented.) (Formula presented.) (vii) (Formula presented.) (viii) (Formula presented.) (ix) (Formula presented.) (x) (Formula presented.) (xi) (Formula presented.) for all (Formula presented.) where ℏ is a homoderivation on (Formula presented.)