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512.541.52+519.175.1 (1) |
Algebra (400) |
Combinatorial analysis. Graph theory (115) |
SM ISO690:2012 ANJAN, Kumar Bhuniya, MAITY, Sushobhan. On the component graphs of finitely generated free semimodules. In: Quasigroups and Related Systems, 2020, vol. 28, nr. 2(44), pp. 243-250. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 28, Numărul 2(44) / 2020 / ISSN 1561-2848 | ||||||
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CZU: 512.541.52+519.175.1 | ||||||
Pag. 243-250 | ||||||
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A semiring S is said to have invariant basis number property if any two bases of a finitely generated free semimodule over S have the same cardinality. Here we characterize reduced zero and reduced non-zero component graphs of every finitely generated free semimodule V over such semirings. It is shown that if jSj > N0, these two graphs of a semimodule V over S are isomorphic |
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