Open Access
2014 Large self-injective rings and the generating hypothesis
Leigh Shepperson, Neil Strickland
Algebra Number Theory 8(2): 257-301 (2014). DOI: 10.2140/ant.2014.8.257

Abstract

We construct a number of different examples of non-Noetherian graded rings that are injective as modules over themselves (or have some related but weaker properties). We discuss how these are related to the theory of triangulated categories, and to Freyd’s generating hypothesis in stable homotopy theory.

Citation

Download Citation

Leigh Shepperson. Neil Strickland. "Large self-injective rings and the generating hypothesis." Algebra Number Theory 8 (2) 257 - 301, 2014. https://doi.org/10.2140/ant.2014.8.257

Information

Received: 6 June 2012; Revised: 29 June 2013; Accepted: 30 July 2013; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1314.13020
MathSciNet: MR3212857
Digital Object Identifier: 10.2140/ant.2014.8.257

Subjects:
Primary: 13C11
Secondary: 18E30 , 55P42

Keywords: generating hypothesis , self-injective

Rights: Copyright © 2014 Mathematical Sciences Publishers

Vol.8 • No. 2 • 2014
MSP
Back to Top