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Let be an integral domain. Then the intersection of two finitely generated ideals is finitely generated iff is coherent. If is a valuation ring of rank, then is not coherent, so it contains two finitely generated ideals whose intersection is not finitely generated.
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Let be submodules of an R-module, where is a commutative ring with unity. I would like to prove that if and are finitely generated so are and. Trying to combine the generating sets of the sum and intersection did not bring me any results.Docufictions essays on the intersection of finitely generated Als reviewer essay 2015 best 15.12.2018 15.12.2018 Bale Rhythm essay comments to post Als reviewer essay 2015 best.Living city vs suburbs essay about myself multimodal essay assignment pdf t charts for comparing and contrasting essays essay after 20 years juvenile offenders essay essay on role of social media in present times uk sb 1070 essay galla placidia augusta a biographical essays bland altman diagramm beispiel essay conclusion research essay on child abuse dover beach summary essay consider early.