Nilpotency in the homotopy of simplicial commutative algebras
| dc.creator | Turner, James M | |
| dc.date | 2002-01-09 | |
| dc.date.accessioned | 2026-07-07T04:45:45Z | |
| dc.date.available | 2026-07-07T04:45:45Z | |
| dc.description | In this paper, we study simplicial commutative algebras with finite André-Quillen homology. Here we restrict our focus to simplicial algebras having characteristic 2. Our aim is to find a generalization of results established by the author. Our goal is to replace the finiteness condition on homotopy with a weaker condition expressed in terms of nilpotency for the action of the homotopy operations. Coupled with the finiteness assumption on André-Quillen homology, this nilpotency condition provides a way to bound the height at which the homology vanishes. As a consequence, we establish a special case of an open conjecture of Quillen. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0201064 | |
| dc.identifier | http://arxiv.org/abs/math/0201064 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63071 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Topology | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 13D03, 13D05, 13H10, 18G30, 55S99 | |
| dc.title | Nilpotency in the homotopy of simplicial commutative algebras | |
| dc.type | text |