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Some morphisms of modules over the ring of pseudorational numbers

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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.

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Authors and Affiliations

  1. Moscow State Pedagogical University, Moscow, Russia

    A. V. Tsarev

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  1. A. V. Tsarev
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Correspondence to A. V. Tsarev.

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Original Russian Text Copyright © 2008 Tsarev A. V.

The author was supported by the President of the Russian Federation (Grant MK-3345.2007.1).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 4, pp. 945–953, July–August, 2008.

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Tsarev, A.V. Some morphisms of modules over the ring of pseudorational numbers. Sib Math J 49, 758–764 (2008). https://doi.org/10.1007/s11202-008-0073-1

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  • DOI: https://doi.org/10.1007/s11202-008-0073-1

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