Characterization of generalized Gorenstein rings

Abstract

The notion of generalized Gorenstein local ring (GGL ring for short) is one of the generalizations of Gorenstein rings. In this article, there is given a characterization of GGL rings in terms of their canonical ideals and related invariants.

11 pages

References in corpus (5)

• On the almost Gorenstein property in Rees algebras of contracted ideals
• Almost Gorenstein Rees algebras of $p_g$-ideals, good ideals, and powers of the maximal ideals
• Invariants of Cohen-Macaulay rings associated to their canonical ideals
• Topics on $2$-almost Gorenstein rings
• When is $R⋉I$ an almost Gorenstein local ring?

Cited by in corpus (3)

• Generalized Gorenstein Arf rings
• Almost canonical ideals and GAS numerical semigroups
• When is $\mathfrak{m}:\mathfrak{m}$ an almost Gorenstein ring?