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 SM ISO690:2012IANCU, Lacrimioara. Free R-n-modules. In: Quasigroups and Related Systems, 1999, nr. 1(6), pp. 13-22. ISSN 1561-2848. |
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| Quasigroups and Related Systems | ||||||
| Numărul 1(6) / 1999 / ISSN 1561-2848 | ||||||
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| Pag. 13-22 | ||||||
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We de_ne the canonical presentation of an R-n-module, in terms of its largest n-submodule with zero and of an idempotent commutative n-group. We give a construction for the free R-n-module with zero, as well as a canonical presentation for the free R-n-module. We give the number of zero-idempotents of a _nitely generated free R-n-module. The last theorem states that, for n > 3, free R-nmodules are isomorphic if and only if their free generating sets have the same cardinality. |
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<meta name="citation_title" content="Free R-n-modules"> <meta name="citation_author" content="Iancu Lacrimioara"> <meta name="citation_publication_date" content="1999/01/05"> <meta name="citation_journal_title" content="Quasigroups and Related Systems"> <meta name="citation_volume" content="6"> <meta name="citation_issue" content="1"> <meta name="citation_firstpage" content="13"> <meta name="citation_lastpage" content="22"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/13-22_Free%20R-n-modules.pdf">
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