Characteristic sets verses generalized characteristic sets

Afzal F., Akram S., Ashiq M., Afzal D., Cancan M., Ediz S.

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, cilt.24, sa.2, ss.439-450, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/09720529.2021.1882160
  • Dergi Adı: JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.439-450
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The notion of characteristic sets that was developed by Ritt and Wu has been turned into an usual tool for study of set/systems of polynomial equations, algebraic as well as differential equations. By constructing a characteristic sets, one can triangularize an arbitrary set/system of any type of polynomials. It ensures that it can be decomposed into triangular form of a particular set/system. In this manuscript, a comparison of characteristic sets defined by Ritt-Wu's differential is provided with the generalized characteristic sets defined by author in [5]. Comparison shows that this scheme performs better than earlier method.