Nonlinear Generalized Lie Triple Higher Derivation on Triangular Algebras

Nonlinear Generalized Lie Triple Higher Derivation on Triangular Algebras Bull. Iran. Math. Soc. https://doi.org/10.1007/s41980-018-0035-8 ORIGINAL PAPER Nonlinear Generalized Lie Triple Higher Derivation on Triangular Algebras 1 1 Mohammad Ashraf · Aisha Jabeen Received: 14 March 2018 / Accepted: 18 May 2018 © Iranian Mathematical Society 2018 Abstract Let R be a commutative ring with unity. A triangular algebra is an algebra AM of the form A = where A and B are unital algebras over R and M is an 0 B (A, B)-bimodule which is faithful as a left A-module as well as a right B-module. In this paper, we study nonlinear generalized Lie triple higher derivation on A and show that under certain assumptions on A, every nonlinear generalized Lie triple higher derivation on A is of standard form, i.e., each component of a nonlinear generalized Lie triple higher derivation on A can be expressed as the sum of an additive generalized higher derivation and a nonlinear functional vanishing on all Lie triple products on A. Keywords Triangular algebra · Generalized higher derivation · Generalized Lie triple higher derivation Mathematics Subject Classification 16W25 · 15A78 1 Introduction Let R be a commutative ring with unity and A be an algebra over R. For any x , http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Iranian Mathematical Society Springer Journals

Nonlinear Generalized Lie Triple Higher Derivation on Triangular Algebras

Loading next page...
 
/lp/springer_journal/nonlinear-generalized-lie-triple-higher-derivation-on-triangular-j0K0oowt5y
Publisher
Springer Singapore
Copyright
Copyright © 2018 by Iranian Mathematical Society
Subject
Mathematics; Mathematics, general
ISSN
1017-060X
eISSN
1735-8515
D.O.I.
10.1007/s41980-018-0035-8
Publisher site
See Article on Publisher Site

Abstract

Bull. Iran. Math. Soc. https://doi.org/10.1007/s41980-018-0035-8 ORIGINAL PAPER Nonlinear Generalized Lie Triple Higher Derivation on Triangular Algebras 1 1 Mohammad Ashraf · Aisha Jabeen Received: 14 March 2018 / Accepted: 18 May 2018 © Iranian Mathematical Society 2018 Abstract Let R be a commutative ring with unity. A triangular algebra is an algebra AM of the form A = where A and B are unital algebras over R and M is an 0 B (A, B)-bimodule which is faithful as a left A-module as well as a right B-module. In this paper, we study nonlinear generalized Lie triple higher derivation on A and show that under certain assumptions on A, every nonlinear generalized Lie triple higher derivation on A is of standard form, i.e., each component of a nonlinear generalized Lie triple higher derivation on A can be expressed as the sum of an additive generalized higher derivation and a nonlinear functional vanishing on all Lie triple products on A. Keywords Triangular algebra · Generalized higher derivation · Generalized Lie triple higher derivation Mathematics Subject Classification 16W25 · 15A78 1 Introduction Let R be a commutative ring with unity and A be an algebra over R. For any x ,

Journal

Bulletin of the Iranian Mathematical SocietySpringer Journals

Published: Jun 4, 2018

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off