Strongly Prime Submodules

Details Strongly Prime Submodules Strongly Prime Submodules

2009-12-09

arxiv.org/abs/0912.1757v1

Mathematics

Commutative Algebra

9 pages

Scientific paper

Let $R$ be a commutative ring with identity. For an $R$-module $M$, the
notion of strongly prime submodule of $M$ is defined. It is shown that this
notion of prime submodule inherits most of the essential properties of the
usual notion of prime ideal. In particular, the Generalized Principal Ideal
Theorem is extended to modules.

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