One-sided localization in rings

On One-Sided Ideals of Rings of Linear Transformations

on one-sided ideals of rings of linear transformations

Localization at prime ideals in bounded rings

In this paper we investigate the sufficiency criteria which guarantee the classical localization of a bounded ring at its prime ideals.

One-Sided Interval Trees

We give an alternative treatment and extension of some results of Itoh and Mahmoud on one-sided interval trees. The proofs are based on renewal theory, including a case with mixed multiplicative and additive renewals.

A (one-sided) Prime Ideal Principle for Noncommutative Rings

In this paper we study certain families of right ideals in noncommutative rings, called right Oka families, generalizing previous work on commutative rings by T.Y. Lam and the author. As in the commutative case, we prove that the right Oka families in a ring R correspond bijectively to the classes of cyclic right R-modules that are closed under extensions. We define completely prime right ideal...