JP Journal of Algebra, Number Theory and Applications
Volume 43, Issue 1, Pages 1 - 12
(July 2019) http://dx.doi.org/10.17654/NT043010001 |
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T[[S]]-NOETHERIAN PROPERTY ON GENERALIZED POWER SERIES MODULES
Ahmad Faisol, Budi Surodjo and Sri Wahyuni
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Abstract: In this paper, we study the sufficient conditions on a ring R, a multiplicative set a strictly ordered monoid and an R‑module M such that the generalized power series module is a -Noetherian -module, where is a multiplicative subset of generalized power series ring |
Keywords and phrases: multiplicative set, strictly ordered monoid, GPSR, GPSM, T-Noetherian.
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