This article is available for purchase or by subscription. See below.
Abstract
|
We investigate a class of truncated path algebras in which the Betti numbers of a simple module
satisfy a polynomial of arbitrarily large degree. We produce truncated path algebras where the
-th Betti number
of a simple module
is
for
and provide a result of the existence of algebras where
is a
polynomial of degree 4 or less with nonnegative integer coefficients. In particular, we
prove that this class of truncated path algebras produces Betti numbers
corresponding to any polynomial in a certain family.
|
PDF Access Denied
We have not been able to recognize your IP address
44.192.247.184
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 30.00:
Keywords
finite-dimensional algebra, Betti number, path algebra,
quiver
|
Mathematical Subject Classification 2010
Primary: 16P90
Secondary: 16P10, 16G20
|
Milestones
Received: 23 December 2016
Revised: 24 May 2018
Accepted: 31 January 2019
Published: 3 August 2019
Communicated by Kenneth S. Berenhaut
|
|