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The Sufficient Conditions for M[[S,w]] to be T[[S,w]]-Noetherian R[[S,w]]-module

Ahmad Faisol, Fitriani Fitriani
Al-Jabar : Jurnal Pendidikan Matematika , Volume 10, pp 285-292; doi:10.24042/ajpm.v10i2.5042

Abstract: In this paper, we investigate the sufficient conditions for T[[S,w]] to be a multiplicative subset of skew generalized power series ring R[[S,w]], where R is a ring, T Í R a multiplicative set, (S,≤) a strictly ordered monoid, and w : S®End(R) a monoid homomorphism. Furthermore, we obtain sufficient conditions for skew generalized power series module M[[S,w]] to be a T[[S,w]]-Noetherian R[[S,w]]-module, where M is an R-module.
Keywords: Monoid / skew / Sufficient Conditions / homomorphism / Noetherian / Strictly / Series Ring

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