arXiv Open Access 2004

Homology of I-adic towers

Samuel Wuethrich

Lihat Sumber

Abstrak

Let R be a commutative ring with unit and let I be an ideal generated by a regular sequence. Then it is known that the natural sequences 0-> Tor_*^R(R/I,I^s)-> Tor_*^R(R/I,I^s/I^{s+1})-> Tor_{*-1}^R(R/I,I^{s+1})-> 0 are short exact sequences of graded free R/I-modules, for any s>=0. The aim of this paper is to give a proof which accounts for the structural simplicity of the statement. It relies on a minimum of technicalities and exposes the phenomenon in a transparent way as a consequence of the regularity assumption. The ideas discussed here are used in math.AT/0411409 to obtain a better qualitative understanding of I-adic towers in algebraic topology.

Topik & Kata Kunci

math.AC

Penulis (1)

Samuel Wuethrich

Format Sitasi

APA MLA BibTeX

Wuethrich, S. (2004). Homology of I-adic towers. https://arxiv.org/abs/math/0411187

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2004
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓