# Algebra

## 1105 Submissions

[2] **viXra:1105.0009 [pdf]**
*submitted on 6 May 2011*

### Why the Colombeau Algebras Cannot Handle Arbitrary Lie Groups ?

**Authors:** Elemér E Rosinger

**Comments:** 18 pages.

It is briefly shown that, due to the growth conditions in their
definition, the Colombeau algebras cannot handle arbitrary Lie groups,
and in particular, cannot allow the formulation, let alone, solution of
Hilbert's Fifth Problem.

**Category:** Algebra

[1] **viXra:1105.0007 [pdf]**
*submitted on 4 May 2011*

### Why the Colombeau Algebras Cannot Formulate, Let Alone Prove the Global Cauchy-Kovalevskaia Theorem ?

**Authors:** Elemér E Rosinger

**Comments:** 9 pages.

It is briefly shown that, due to the growth conditions in their definition,
the Colombeau algebras cannot handle arbitrary analytic nonlinear
PDEs, and in particular, cannot allow the formulation, let alone,
give the proof of the global Cauchy-Kovalevskaia theorem.

**Category:** Algebra