Superderivations with invertible values-Reference-Cited by-同舟云学术

Superderivations with invertible values

Published:2014-10-19 Issue:02 Volume:14 Page:1550022
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Demir Çağrı¹,Albaş Emine¹,Argaç Nurcan¹,Fošner Ajda²

Affiliation:

1. Department of Mathematics, Ege University, Bornova, İzmir 35100, Turkey

2. Faculty of Management Koper, University of Primorska, Cankarjeva 5, SI-6104, Koper, Slovenia

Abstract

We examine the structure of unital associative superalgebras [Formula: see text] having nonzero superderivations with zero or invertible values. Under some mild assumptions, we show that such a superalgebra [Formula: see text] is either a division superalgebra [Formula: see text], or [Formula: see text], or it is a local superalgebra with a unique maximal graded ideal [Formula: see text] such that [Formula: see text]. We also describe in details the local superalgebras that are possible.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949881550022X

Reference14 articles.

1. Derivations with Invertible Values on a Lie Ideal

2. Rings with a Special Kind of Automorphism

3. Derivations with Invertible Values

4. Derivations on multilinear polynomials in semiprime rings

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