This article is cited in 3 papers

Quotient rings of pseudonormed rings

S. A. Aleschenko, V. I. Arnautov

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Kishinev, Moldova

Abstract: The present article is devoted to the study of the connection between the restriction of a pseudonorm of a pseudonormed ring on various subrings and the pseudonorm of quotient ring. The basic results of this article were announced in [2].

Keywords and phrases: Pseudonorm, pseudonormed ring, isometric homomorphism, semi-isometric isomorphism, subring, quotient ring.

MSC: 16W60, 13A18

Received: 18.05.2006

Language: English

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