Naoyuki Matsuoka

Almost Gorenstein Rees Algebras of

In this paper, we generalize the main result in [7] via three different approaches as follows. Let

p_{g}

(A,{\mathfrak m})

-Ideals, Good Ideals, and Powers of the Maximal Ideals

be a two-dimensional excellent normal local domain over an algebraically closed field. If

Quasi-socle ideals in local rings with Gorenstein tangent cones

I \subset A

Almost Gorenstein rings

is a

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

p_g

Quasi-socle ideals in a Gorenstein local ring

-ideal in the sense of [15], then the Rees algebra

On the almost Gorenstein property in Rees algebras of contracted ideals

{\mathcal R} (I)= \bigoplus_{n \ge 0}I^n

Quasi-socle ideals in Gorenstein numerical semigroup rings

of

Sally modules of canonical ideals in dimension one and 2-AGL rings

I