Authors: S. A. Aleschenko,
Arnautov Vladimir
Abstract
Let
![](/files/basm/y2008-n3/y2008-n3-i1.png)
be an izomorphism of pseudonormed rings. The inequalities
![](/files/basm/y2008-n3/y2008-n3-i2.png)
are fulfilled for any a, b ∈ R\{0} iff there exists a pseudonormed ring
![](/files/basm/y2008-n3/y2008-n3-i3.png)
such that
![](/files/basm/y2008-n3/y2008-n3-i5.png)
is a left ideal in
![](/files/basm/y2008-n3/y2008-n3-i3.png)
and the isomorphism φ can be extended up to an isometric homomorphism
![](/files/basm/y2008-n3/y2008-n3-i4.png)
.
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