Generalized Koszul Properties of Commutative Local Rings

We study several properties of commutative local rings that generalize the notion of Koszul algebra. The properties are expressed in terms of the Ext algebra of the ring, or in terms of homological properties of powers of the maximal ideal of the ring. We analyze relationships between these properties and we identify large classes of rings that satisfy them. In particular, we prove that the Ext algebra of a compressed Gorenstein local ring of even socle degree is generated in degrees 1 and 2.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Doctoral

Discipline thesis:degree_discipline

Mathematics (UMKC)

Year dc:date.issued

2014

Author dc:creator

• Hoffmeier, Justin Cole

Advisor dc:contributor.advisor

• Sega, Liana

Language dc:language.iso

en_US

Handle dc:identifier.uri

https://hdl.handle.net/10355/47457

OAI identifier oai:identifier

oai:mospace.umsystem.edu:10355/47457