ACADSTAFF UGM
| Title | : | The Sufficient Conditions for R[X]-module M[X] to be S[X]-Noetherian |
| Author | : |
AHMAD FAISOL (1) Dr. Budi Surodjo, M.Si. (2) Prof. Dr. Sri Wahyuni, S.U. (3) |
| Date | : | 22 2019 |
| Keyword | : | $S$-Noetherian module, Polynomial module, Laurent polynomial module, Power series module, Laurent series module $S$-Noetherian module, Polynomial module, Laurent polynomial module, Power series module, Laurent series module |
| Abstract | : | In this paper, we obtain the necessary and sufficient conditions on a ring $R$, a multiplicative set $S\subseteq R$, and an $R$-module $M$ such that the polynomial module, the Laurent polynomial module, the power series module, and the Laurent series module are $S$-Noetherian. Furthermore, we also obtain the sufficient conditions for these modules to be $S[X]$-Noetherian, $S[X,X^{-1}]$-Noetherian, $S[[X]]$-Noetherian, and $S[[X,X^{-1}]]$-Noetherian, respectively. |
| Group of Knowledge | : | Matematika |
| Original Language | : | English |
| Level | : | Internasional |
| Status | : |
Published
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245-Public-Proofed-PDF-528-1-10-20190123.pdf
Document Type : [PAK] Full Dokumen
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