On local weak crossed product orders

• Autorzy: Th. Theohari-Apostolidi , A. Tompoulidou
• Języki publikacji: EN

Abstrakty

EN

Let Λ = (S/R,α) be a local weak crossed product order in the crossed product algebra A = (L/K,α) with integral cocycle, and $H = {σ ∈ Gal(L/K) | α(σ,σ^{-1}) ∈ S*}$ the inertial group of α, for S* the group of units of S. We give a condition for the first ramification group of L/K to be a subgroup of H. Moreover we describe the Jacobson radical of Λ without restriction on the ramification of L/K.

Kategorie tematyczne

• 16H10: Orders in separable algebras
• 16G30: Representations of orders, lattices, algebras over commutative rings
• 16S35: Twisted and skew group rings, crossed products
• 11S23: Integral representations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 135
• Numer: 1
• Strony: 53-68

Daty

wydano

2014

Twórcy

autor

Th. Theohari-Apostolidi

• School of Mathematics, Aristotle University of Thessaloniki, Thessaloniki 54124, Greece

autor

A. Tompoulidou

• School of Mathematics, Aristotle University of Thessaloniki, Thessaloniki 54124, Greece

Identyfikatory

DOI

10.4064/cm135-1-4