Findik, SehmusKelekci, Osman2024-11-072024-11-0720200218-19671793-6500https://doi.org/10.1142/S0218196720500228https://hdl.handle.net/11480/15443Let 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 w = H(u, v) = u + v + 1/2[u, v] + 1/12 [u, [u, v]] + 1/12 [v, [u, v]] + ..., where [u, v] = uv - vu, in the algebras A and B.eninfo:eu-repo/semantics/closedAccessHausdorff seriesleft zero semigroupright zero semigroupsemigroup algebraArticle30485385910.1142/S02181967205002282-s2.0-85081565839Q2WOS:000543524800007Q3