شماره ركورد كنفرانس :
4079
عنوان مقاله :
Some Examples of S-Noetherian Rings
پديدآورندگان :
Moussavi A moussavi.a@gmail.com Tarbiat Modares University , Padashnik F f.padashnik@modares.ac.ir Tarbiat Modares University
كليدواژه :
S , Noetherian , Noetherian , ACCP
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
Let S be a multiplicative subset of a ring R. The ring R is called S-Noetherian, if for each ideal I of R, sI ⊆ J ⊆ I for an s ∈ S and a finitely generated ideal J. We provide examples of S-Noetherian rings which do not satisfy the ACCP (and hence they are not Noetherian)
