Title

Primary Decomposition of Torsion R[X]-Modules

Document Type

Article

Publication Date

1-1-1994

Abstract

This paper is concerned with studying hereditary properties of primary decompositions of torsion R[X]-modules M which are torsion free as R-modules. Specifically, if an R[X]-submodule of M is pure as an R-submodule, then the primary decomposition of M determines a primary decomposition of the submodule. This is a generalization of the classical fact from linear algebra that a diagonalizable linear transformation on a vector space restricts to a diagonalizablc linear transformation of any invariant subspace. Additionally, primary decompositions are considered under direct sums and tensor product. © 1994, Hindawi Publishing Corporation. All rights reserved.

Publication Source (Journal or Book title)

International Journal of Mathematics and Mathematical Sciences

First Page

41

Last Page

46

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