Rigid Ideals in Gorenstein Rings of Dimension One
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DOI: 10.1007/s40306-018-00315-0
Abstract: Motivated by a conjecture of Huneke and Wiegand concerning torsion in tensor products of modules over local rings, we investigate the existence of ideals I in a one-dimensional Gorenstein local ring R satisfying ExtR1(I,I)=0$\text {Ext}^{1}_{R}(I,I)= 0$. read more here.
Keywords: rigid ideals; dimension one; rings dimension; ideals gorenstein ... See more keywords
Almost Gorenstein rings arising from fiber products
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DOI: 10.4153/s000843952000051x
Abstract: Abstract The purpose of this paper is, as part of the stratification of Cohen–Macaulay rings, to investigate the question of when the fiber products are almost Gorenstein rings. We show that the fiber product $R… read more here.
Keywords: fiber products; products almost; rings arising; almost gorenstein ... See more keywords