Some morphisms of modules over the ring of pseudorational numbers |
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Authors: | A. V. Tsarev |
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Affiliation: | (1) Moscow State Pedagogical University, Moscow, Russia |
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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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Keywords: | pseudorational numbers sp-group quasi-isomorphism pseudohomomorphism |
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