Homological properties of a family of quotients of the Rees algebra
Abstract
Let $R$ be a commutative ring, $a,b$ be elements of $R$, and let $I\neq0$ be a proper ideal of $R$. We investigate some homological properties of the family of quotients of the Rees algebra $R(I)_{a,b}$, which was introduced by Barucci {\it et~al.} In particular, we study the transferring of being partial $n$-tilting, Gorenstein projective, Gorenstein injective and Gorenstein flat between $R$ and $R(I)_{a,b}$.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Rings
Modules
and Algebras
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Publicationes Mathematicae Debrecen
- Volume
- 108
- Issue
- 1-2
- Pages
- 185–195
- Publication date
- 1 January 2026