Volume 18, issue 6 (2018)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

Author Index
The Journal
About the Journal
Editorial Board
Subscriptions
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
To Appear
 
Other MSP Journals
$A_{\infty}$–resolutions and the Golod property for monomial rings

Robin Frankhuizen

Algebraic & Geometric Topology 18 (2018) 3403–3424
Abstract

Let R = SI be a monomial ring whose minimal free resolution F is rooted. We describe an A –algebra structure on F. Using this structure, we show that R is Golod if and only if the product on TorS(R,k) vanishes. Furthermore, we give a necessary and sufficient combinatorial condition for R to be Golod.

Keywords
Golod ring, Poincaré series, A-infinity algebra, Massey products
Mathematical Subject Classification 2010
Primary: 13D07, 13D40, 16E45, 55S30
References
Publication
Received: 11 October 2017
Revised: 16 April 2018
Accepted: 16 June 2018
Published: 18 October 2018
Authors
Robin Frankhuizen
School of Mathematics
University of Southampton
Southampton
United Kingdom