A Lattice-theoretic Generalization of the Lehmer Matrix

ALTINIŞIK E., Yagci F., Yildiz M.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.29, sa.3, ss.675-679, 2016 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 3
  • Basım Tarihi: 2016
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.675-679
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we present a lattice-theoretic generalization of the Lehmer matrix. We obtain some certain formulae for the determinant and the entries of the inverse of this new generalization by using lattice-theoretic tools. These formulae are the generalization of formulae for the determinant, the inverse of the classical Lehmer matrix and most of its generalizations presented in the literature.