CONSTRUCTIONS OF PSEUDONORMED RINGS WHICH KEEP A SEMI-ISOMETRIC ISOMORPHISM

Светлана АЛЕЩЕНКО Тираспольский государственный университет

Abstract

In the present work the conception of a semi-isometric isomorphism of pseudonormed rings is studied. It’s shown that a semi-isometric isomorphism is kept for the limit and supremum of pseudonorms, for the direct sum of pseudonormed rings. Keywords: pseudonorm, pseudonormed ring, isometric homomorphism, semi-isometric isomorphism, the direct sum of rings.