This article is available for purchase or by subscription. See below.
Abstract
|
We construct free commutative Rota–Baxter family algebras, and then free
noncommutative Rota–Baxter family algebras via the method of Gröbner–Shirshov
bases. We introduce the concept of dendriform (resp. tridendriform) family
algebras, and prove that Rota–Baxter family algebras of weight zero
(resp. )
induce dendriform (resp. tridendriform) family algebras. We also construct free
commutative dendriform (resp. tridendriform) family algebras.
|
PDF Access Denied
We have not been able to recognize your IP address
3.17.128.129
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 40.00:
Keywords
Rota–Baxter algebra, Rota–Baxter family algebra, dendriform
family algebra, tridendriform family algebra,
Gröbner–Shirshov basis
|
Mathematical Subject Classification 2010
Primary: 08B20, 13P10, 16S10, 16W99
|
Milestones
Received: 30 July 2018
Revised: 27 October 2018
Accepted: 29 October 2018
Published: 24 October 2019
|
|