The theory of idempotent matrices with entries in complex group algebras has recently
experienced a revival, in view of its close relationship with deep geometric problems and …

This is a write-up of the notes of a course given by the author in 1983/84. Apart from the
addition of several references, only minor changes have been made. To compensate, a final …

Algebraic Elements in Group Rings Page 1 Algebraic Elements in Group Rings I. BS PASSI
Abstract: In this article we will give a survey of results on the algebraic elements in group rings …

Given a group G and a commutative ring k with identity, one can define an k-algebra k [G]
called the group algebra of G over k. An element α∈ k [G] is said to be algebraic if f (α)= 0 for …

It is shown that if a group ring satisfies the idempotent conjecture and some other restrictions
it will be representational consistent. As an application we show the real numbers as a field …

In this article, we revisit some block matrix construction methods and use them to derive
various general expansion formulas for calculating the ranks of matrix expressions. As …

In this article we will give a survey of results on the algebraic elements in group rings and
discuss some open problems in this area. 1. Aigebraic elements. Let A be an algebra over a …