New algebraic properties of quadratic quotients of the Rees algebra
M D'Anna, F Strazzanti - Journal of Algebra and Its Applications, 2019 - World Scientific
M D'Anna, F Strazzanti
Journal of Algebra and Its Applications, 2019•World ScientificWe study some properties of a family of rings R (I) a, b that are obtained as quotients of the
Rees algebra associated with a ring R and an ideal I. In particular, we give a complete
description of the spectrum of every member of the family and describe the localizations at a
prime ideal. Consequently, we are able to characterize the Cohen–Macaulay and
Gorenstein properties, generalizing known results stated in the local case. Moreover, we
study when R (I) a, b is an integral domain, reduced, quasi-Gorenstein, or satisfies Serre's …
Rees algebra associated with a ring R and an ideal I. In particular, we give a complete
description of the spectrum of every member of the family and describe the localizations at a
prime ideal. Consequently, we are able to characterize the Cohen–Macaulay and
Gorenstein properties, generalizing known results stated in the local case. Moreover, we
study when R (I) a, b is an integral domain, reduced, quasi-Gorenstein, or satisfies Serre's …
We study some properties of a family of rings that are obtained as quotients of the Rees algebra associated with a ring and an ideal . In particular, we give a complete description of the spectrum of every member of the family and describe the localizations at a prime ideal. Consequently, we are able to characterize the Cohen–Macaulay and Gorenstein properties, generalizing known results stated in the local case. Moreover, we study when is an integral domain, reduced, quasi-Gorenstein, or satisfies Serre’s conditions.
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