The Alternating Syzygy Behavior of Monomial Algebras

✍ Scribed by Michael J. Bardzell

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 227 KB
• Volume: 188
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1996.6813

✦ Synopsis

In this paper we present a minimal projective resolution of a monomial algebra ⌳ over its enveloping algebra. The syzygies for this resolution exhibit an alternating behavior which is explained by the construction of a special sequence of paths from the quiver of ⌳.