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Train algebras of rank 3 with finiteness conditions

✍ Scribed by Fouad Zitan

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
141 KB
Volume
431
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

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We give a characterization of the representations on train algebras of rank 3. We prove that the subalgebra of the algebra of endomorphisms of a module generated by the representation of the nil ideal of the algebra is nilpotent. Finally we prove that every irreducible module has dimension one over

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Let H be an inÿnite Hankel matrix with hi+j-2 as its (i; j)-entry, h k = n l=1 r l z k l , k = 0; 1; : : : ; |z l | ‘ 1, and r l ; z l ∈ C. We derive upper bounds for the 2-condition number of H as functions of n, r l and z l , which show that the Hankel matrix H becomes well conditioned whenever th