Hausdorff series in a semigroup ring


FINDIK Ş. , Kelekci O.

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, cilt.30, ss.853-859, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 30 Konu: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1142/s0218196720500228
  • Dergi Adı: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
  • Sayfa Sayıları: ss.853-859

Özet

Let A = R < a(1), ..., a(n)> and B = R < b(1), ..., b(n)> be the semigroup rings spanned on the right zero semigroup RZ(n) = {a(1), ..., a(n)}, and on the left zero semigroup LZ(n) = {b1, ..., b(n)}, respectively, together with the identity element 1. We suggest a closed formula solving the equation w = log(e(u)e(v)) which is the evolution of the CampbellBaker-Hausdorff formula given by the Hausdorff series