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arXiv · 1707.05382

Coprimely Structured Modules

Zehra Bilgin·Kürşat Hakan Oral
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Abstract

Let R be a commutative ring with identity. A prime submodule P of an R-module M is called coprimely structured if, whenever P is coprime to each element of an arbitrary family of submodules of M, the intersection of the family is not contained in P. An R-module M is called coprimely structured provided each prime submodule of M is coprimely structured. In this paper, properties of coprimely structured modules are examined. Severals results for coprimely structured finitely generated modules and coprimely structured multiplication modules are obtained.

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Zehra Bilgin, Kürşat Hakan Oral. 2017-07-17. Coprimely Structured Modules. https://arxiv.org/abs/1707.05382

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