arXiv Open Access 2002

On simplicial commutative algebras with Noetherian homotopy

James M Turner

Lihat Sumber

Abstrak

In this paper, a strategy is developed studying a simplicial commutative algebra A whose zeroth homotopy group is a Noetherian ring B and whose higher homotopy groups are finite over B. The strategy replaces A with a connected simplicial supplemented k(q)-algebra, for each prime ideal q in B, which preserves much of the Andre-Quillen homology of A. The methods for this construction involves a mixture of methods of homotopy theory (e.g. Postnikov towers) with methods of commutative algebras (e.g. completions, Cohen factorizations). We finish by indicating how these methods resolve a more general form of a conjecture posed by Quillen.

Topik & Kata Kunci

math.AC math.AG math.AT

Penulis (1)

James M Turner

Format Sitasi

APA MLA BibTeX

Turner, J.M. (2002). On simplicial commutative algebras with Noetherian homotopy. https://arxiv.org/abs/math/0201063

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2002
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓