✦ LIBER ✦

A Note on the Multiplicities of Gorenstein Algebras

✍ Scribed by Hema Srinivasan

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 167 KB
Volume: 208
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7413

No coin nor oath required. For personal study only.

✦ Synopsis

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 Cohen᎐Macaulay algebras. Herzog and Srinivasan have proved this conjecture for C-M algebras with quasi-pure resolutions. Using this formula for the multiplicities of Gorenstein algebras, we prove a stronger bound for the multiplicities of Goerenstein algebras with quasi-pure resolutions.

📜 SIMILAR VOLUMES

On Rees Algebras with a Gorenstein Veron

On Rees Algebras with a Gorenstein Veronese Subring

✍ M Herrmann; E Hyry; T Korb 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 374 KB

A Note on Diagonality of Algebras

✍ Josef Šlapal 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 171 KB 👁 1 views

A Note on Derivations of Simple Algebras

✍ A. Elduque; F. Montaner 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 319 KB

Necessary and sufficient conditions for all the derivations of a finite dimensional simple nonassociative algebra, over a field of characteristic zero, to be inner are given in terms of the Lie multiplication algebra and the trace of the derivations. 1994 Academic Press, Inc.

A note on simple graphic algebras

✍ Juhani Nieminen 📂 Article 📅 1975 🏛 John Wiley and Sons 🌐 English ⚖ 223 KB 👁 1 views

A NOTE ON SIMPLE GRAPHIC ALGEBRAS by JUHANT NIEMTNEN in Helsinki (Finland) 111 troduction Several authors have studied the structure of algebras with a ternary operation called median operation, scc e.g. [I], [2], [3], [4], and [7]. Most of the authors have concentrated on the lattice and tree struc

A Characterization of P.I. Algebras with

A Characterization of P.I. Algebras with Bounded Multiplicities of the Cocharacters

✍ S.P Mishchenko; A Regev; M.V Zaicev 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 115 KB

We characterize varieties of P.I. algebras with bounded multiplicities of the cocharacters: a variety is such if and only if it does not contain the upper triangular 2 × 2 matrices. This also yields a characterization of the varieties with bounded colength.

A Note on the Orlik–Solomon Algebra

✍ Raul Cordovil; Gwihen Etienne 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 112 KB

Let M = M(E) be a matroid on a linear ordered set E. The Orlik-Solomon Z-algebra OS(M) of M is the free exterior Z-algebra on E, modulo the ideal generated by the circuit boundaries. The Z-module OS(M) has a canonical basis called 'no broken circuit basis' and denoted nbc. Let e X = e i , e i ∈ X ⊂