๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Gorenstein Algebras of Veronese Type

โœ Scribed by Emanuela De Negri; Takayuki Hibi

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
209 KB
Volume
193
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis

be the polynomial ring in n variables over a field K. We fix 1 2 n ลฝ . an integer d and a sequence a s a , a , . . . , a of integers with 1 F a F a F ลฝ . sequences a and integers d for which the algebra A a; d is Gorenstein. แฎŠ 1997 Academic Press each 1 F i F n. Such an algebra is called an algebra of Veronese type.

๐Ÿ“œ SIMILAR VOLUMES

Initial Ideals, Veronese Subrings, and R
Initial Ideals, Veronese Subrings, and Rates of Algebras
โœ D. Eisenbud; A. Reeves; B. Totaro ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 792 KB

AND BUrt Totaro \({ }^{8}\) Department of Mathematics, University of Chicago, Chicago, Illinois 60637

Gorensteinness of Invariant Subrings of
Gorensteinness of Invariant Subrings of Quantum Algebras
โœ N Jing; J.J Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 173 KB

We prove Auslander-Gorenstein and GKdim-Macaulay properties for certain invariant subrings of some quantum algebras, the Weyl algebras, and the universal enveloping algebras of finite-dimensional Lie algebras.

A Note on the Multiplicities of Gorenste
A Note on the Multiplicities of Gorenstein Algebras
โœ Hema Srinivasan ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 167 KB

In this note we give a formula for the multiplicities of homogenous Gorenstein algebras. Herzog, Huneke, and Srinivasan have conjectured bounds for the multiplicities of homogeneous CohenแŽMacaulay algebras. Herzog and Srinivasan have proved this conjecture for C-M algebras with quasi-pure resolution