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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 4, Pages 945–953 (Mi smj1891)  
This article is cited in 3 scientific papers (total in 3 papers)

Some morphisms of modules over the ring of pseudorational numbers

A. V. Tsarev

Moscow State Pedagogical University
Full-text PDF (315 kB) Citations (3)
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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.
Keywords: pseudorational numbers, $sp$-group, quasi-isomorphism, pseudohomomorphism.
Received: 15.01.2007
Revised: 14.12.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 4, Pages 758–764
DOI: https://doi.org/10.1007/s11202-008-0073-1
Bibliographic databases:
UDC: 512.541
Language: Russian
Citation: A. V. Tsarev, “Some morphisms of modules over the ring of pseudorational numbers”, Sibirsk. Mat. Zh., 49:4 (2008), 945–953; Siberian Math. J., 49:4 (2008), 758–764
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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