Hausdorff series in a semigroup ring
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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 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.
Açıklama
Anahtar Kelimeler
Hausdorff series, left zero semigroup, right zero semigroup, semigroup algebra
Kaynak
International Journal of Algebra and Computation
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
30
Sayı
4
