Wesly Agustinus Pardede
Universitas Lampung

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The X[[S]]-Sub-Exact Sequence of Generalized Power Series Rings Wesly Agustinus Pardede; Ahmad Faisol; Fitriani Fitriani
Al-Jabar: Jurnal Pendidikan Matematika Vol 11, No 2 (2020): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (477.388 KB) | DOI: 10.24042/ajpm.v11i2.6760

Abstract

Let  be a ring,  a strictly ordered monoid, and K, L, M are R-modules. Then, we can construct the Generalized Power Series Modules (GPSM) K[[S]], L[[S]], and M[[S]], which are the module over the Generalized Power Series Rings (GPSR) R[[S]]. In this paper, we investigate the property of X[[S]]-sub-exact sequence on GPSM L[[S]] over GPSR R[[S]].