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1

Induced modules of strongly group-graded algebras

100%

Theohari-Apostolidi T., Vavatsoulas H.

Colloquium Mathematicum

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2007

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tom 108

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nr 1

93-104

EN

Various results on the induced representations of group rings are extended to modules over strongly group-graded rings. In particular, a proof of the graded version of Mackey's theorem is given.

2

Hermitian and quadratic forms over local classical crossed product orders

100%

Hatzaras Y., Theohari-Apostolidi T.

Colloquium Mathematicum

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2000

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tom 83

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nr 1

43-53

EN

Let R be a complete discrete valuation ring with quotient field K, L/K be a Galois extension with Galois group G and S be the integral closure of R in L. If a is a factor set of G with values in the group of units of S, then (L/K,a) (resp. Λ =(S/R,a)) denotes the crossed product K-algebra (resp. crossed product R -order in A). In this paper hermitian and quadratic forms on Λ -lattices are studied and the existence of at most two irreducible non-singular quadratic Λ -lattices is proved (Theorem 3.5). Further the orthogonal decomposition of an arbitrary non-singular quadratic Λ -lattice is given.

3

On local weak crossed product orders

100%

Theohari-Apostolidi T., Tompoulidou A.

Colloquium Mathematicum

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2014

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tom 135

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nr 1

53-68

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.

Ograniczanie wyników

3 Colloquium Mathematicum

3 Theohari-Apostolidi T.

1 Hatzaras Y.

1 Tompoulidou A.

1 Vavatsoulas H.

1 2014

1 2007

1 2000

Induced modules of strongly group-graded algebras

Hermitian and quadratic forms over local classical crossed product orders

On local weak crossed product orders