The almost Gorenstein Rees algebras of parameters

2015/07/09 by Shirô Gotô, Goto, Shiro, Naoyuki Matsuoka +5 · 1 citation
Mathematics · #13A30 #13H10 #13H15 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1507.02556

openalex publication_date 2015/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

There is given a characterization for the Rees algebras of parameters in a Gorenstein local ring to be almost Gorenstein graded rings. A characterization is also given for the Rees algebras of socle ideals of parameters. The latter one shows almost Gorenstein Rees algebras rather rarely exist for socle ideals, if the dimension of the base local ring is greater than two.

Citations

• The almost Gorenstein Rees algebras over two-dimensional regular local rings

Cited by

• Nearly Gorenstein blow-up algebras over two-dimensional regular local rings

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• Almost Gorenstein Rees algebras of p_g-ideals, good ideals, and powers of the maximal ideals
• Nearly Gorenstein blow-up algebras over two-dimensional regular local rings
• The almost Gorenstein Rees algebras over two-dimensional regular local rings
• Quasi-Gorensteinness of extended Rees algebras