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Algorithm for primary submodule decomposition without producing intermediate redundant components

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The aim of this paper is to present an algorithm for the primary decomposition of a submodule [Formula: see text] of [Formula: see text]. We will use for this purpose… Click to show full abstract

The aim of this paper is to present an algorithm for the primary decomposition of a submodule [Formula: see text] of [Formula: see text]. We will use for this purpose the algorithms for primary decomposition for ideals in polynomial rings. We will generalize the method of Kawazoe and Noro to primary decomposition for submodules of free modules.

Keywords: algorithm primary; primary decomposition; decomposition; primary submodule; submodule decomposition

Journal Title: Journal of Algebra and Its Applications
Year Published: 2019

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