Some Equations in Rings Involving Semiprime Ideals and Multiplicative Generalized Semiderivations

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

Mathematics, cilt.12, sa.18, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 18
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3390/math12182818
  • 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: generalized semiderivation, multiplicative derivation, semiderivation, semiprime ideal
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

This paper examines the commutativity of the quotient ring (Formula presented.) by utilizing specific differential identities in a general ring (Formula presented.) that contains a semiprime ideal (Formula presented.). This study particularly focuses on the role of a multiplicative generalized semiderivation (Formula presented.), which is associated with a map (Formula presented.), in determining the commutative nature of the quotient ring.