Ziegler Spectra of Tame Hereditary Algebras

On Ringel-hall Algebras of Tame Hereditary Algebras

The Ziegler and Zariski spectra of some domestic string algebras

Ziegler Spectra of Valuation Rings

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Ideal Amenability of Banach Algebras and Some Hereditary Properties

Let A be a Banach algebra. A is called ideally amenable if for every closed ideal I of A, the first cohomology group of A with coefficients in I* is trivial. We investigate the closed ideals I for which H1 (A,I* )={0}, whenever A is weakly amenable or a biflat Banach algebra. Also we give some hereditary properties of ideal amenability.

Hereditary properties of amenability modulo an ideal of Banach algebras

In this paper we investigate some hereditary properties of amenability modulo an ideal of Banach algebras. We show that if $(e_alpha)_alpha$ is a bounded approximate identity modulo I of a Banach algebra A and X is a neo-unital modulo I, then $(e_alpha)_alpha$ is a bounded approximate identity for X. Moreover we show that amenability modulo an ideal of a Banach algebra A can be only considered ...