This article is cited in 4 papers

Some morphisms of modules over the ring of pseudorational numbers

A. V. Tsarev

Moscow State Pedagogical University

Abstract: We study various morphisms of modules over the ring of pseudorational numbers $R$. We obtain a criterion for a quasi-isomorphism between finitely generated $R$-modules, introduce the concept of a pseudohomomorphism, and prove that the Krull–Remak–Schmidt theorem holds in the category of pseudohomomorphisms of finitely generated $R$-modules.

Keywords: pseudorational numbers, $sp$-group, quasi-isomorphism, pseudohomomorphism.

UDC: 512.541

Received: 15.01.2007
Revised: 14.12.2007

 English version: Siberian Mathematical Journal, 2008, 49:4, 758–764

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