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- Piroska Lakatos
- 2005

The spectral radius of a Coxeter transformation which plays an important role in the representation theory of hereditary algebras (see [DR]), is its important invariant. This paper provides both upper and lower bounds for the spectral radii of Coxeter transformations of the wild stars (i.e. the trees that have a single branching point and are neither of… (More)

- PIROSKA LAKATOS
- 2003

The first author [1] proved that all zeros of the reciprocal polynomial Pm(z) = m ∑ k=0 Akz k (z ∈ C), of degree m ≥ 2 with real coefficients Ak ∈ R (i.e. Am 6= 0 and Ak = Am−k for all k = 0, . . . , [ m 2 ] ) are on the unit circle, provided that |Am| ≥ m ∑ k=0 |Ak −Am| = m−1 ∑ k=1 |Ak −Am|. Moreover, the zeros of Pm are near to the m + 1st roots of unity… (More)

- Vesselin Drensky, Piroska Lakatos
- AAECC
- 1988

- Carolin Hannusch, Piroska Lakatos
- Discrete Math., Alg. and Appl.
- 2012

A linear code C is called a group code if C is an ideal in a group algebra K[G] where K is a ring and G is a finite group. Many classical linear error-correcting codes can be realized as ideals of group algebras. Berman [1], in the case of characteristic 2, and Charpin [2], for characteristic p = 2, proved that all generalized Reed–Muller codes coincide… (More)

Inspired by the work of Mirollo and Vilonen [MV] describing the categories of perverse sheaves as module categories over certain finite dimensional algebras, Dlab and Ringel introduced [DR2] an explicit recursive construction of these algebras in terms of the algebras A(γ). In particular, they characterized the quasi-hereditary algebras of… (More)

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