广义幂级数环的X[[S]]-次精确序列

Al-Jabar : Jurnal Pendidikan Matematika Pub Date : 2020-12-19 DOI:10.24042/ajpm.v11i2.6760

Wesly Agustinus Pardede, A. Faisol, Fitriani Fitriani

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引用次数: 0

摘要

设一个环，一个严格序单形，K, L, M是r模。然后，我们可以构造广义幂级数模(GPSM) K[[S]]， L[[S]]， M[[S]]，它们是广义幂级数环(GPSR) R[[S]]上的模。本文研究了GPSM L[[S]]和GPSR R[[S]]上X[[S]]-子精确序列的性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The X[[S]]-Sub-Exact Sequence of Generalized Power Series Rings

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]].

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Al-Jabar : Jurnal Pendidikan Matematika

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