This paper is a short study about factorization and divisibility in commutative rings. Many definitions related to rings, ideals and their relation to factorization are given in the text. Among them, the concept of unique ...

We construct indecomposable and noncrossed product division algebras over function fields of connected smooth curves X over Z(p). This is done by defining an index preserving morphism s: Br(<(K(X))over cap>)` --> Br(K(X))` ...

En este artículo se estudian algunos tipos de algebras de división no necesariamente asociativas (NNA) conocidas como ´algebras twisted, definidas y descritas originalmente en [1] y [2]. Inicialmente se encuentran e ...

In this paper we use uniform algebra techniques and recent results on separation properties to prove several division theorems for closed subalgebras of L∞ containing H∞. We also study ideals having the local approximation ...

Let D be a division ring with center k, and let D-dagger be its multiplicative group. We investigate the existence of free groups in D-dagger, and free algebras and free group algebras in D. We also go through the case ...