Ideals in the Wiener algebra W+

Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal

Let $f : A rightarrow B$ be a ring homomorphism and $J$ an ideal of $B$. In this paper, we give a necessary and sufficient condition for the amalgamated algebra along an ideal $Abowtie^fJ$ to be $J$-Noetherian. Then we give a characterization for pseudo-irreducible ideals of $Abowtie^fJ$, in special cases.

Ideals of Denominators in the Disk-algebra

We show that there do not exist finitely generated, non-principal ideals of denominators in the disk-algebra A(D). Our proof involves a new factorization theorem for A(D) that is based on Treil’s determination of the Bass stable rank for H∞.

The Wiener algebra and Wiener’s lemma

Ideals of Pre A ∗ - Algebra

In this paper we formulate the definition of an ideal of Pre A∗-algebra A and discuss certain examples. Also certain binary operations are introduced on the set of ideals and various properties of these are investigated. Copyright c © 2011 Yang’s Scientific Research Institute, LLC. All rights reserved.

On the Classical W Algebra

We consider the classical W (2) 4 algebra from the integrable system viewpoint. The integrable evolution equations associated with the W (2) 4 algebra are constructed and the Miura maps , consequently modifications , are presented. Modifying the Miura maps, we give a free field realization the classical W (2) 4 algebra. We also construct the Toda type integrable systems for it.