On the component graphs of finitely generated free semimodules
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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

On the component graphs of finitely generated free semimodules

CZU: 512.541.52+519.175.1

Pag. 243-250

Anjan Kumar Bhuniya, Maity Sushobhan
 
Department of Mathematics, Visva Bharati University
 
 
Disponibil în IBN: 21 ianuarie 2021


Rezumat

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