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首页> 外文期刊>Journal of algebra and its applications >Multiplicative canonical ideals of ring extensions
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Multiplicative canonical ideals of ring extensions

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We study properties of multiplicative canonical (m-canonical) ideals of ring extensions. Let R subset of S be a ring extension. A nonzero S-regular ideal I of R is called an m-canonical ideal of the extension R subset of S if (I :(S) (I :(S) J)) = J for all S-regular ideal J of R. We study m-canonical ideals for pullback diagrams, and we use the notion of m-canonical ideal to characterize Prufer extensions.

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