eCite Digital Repository
Generalized higher derivations
Citation
Cojuhari, EP and Gardner, BJ, Generalized higher derivations, Bulletin of the Australian Mathematical Society, 86, (2) pp. 266-281. ISSN 0004-9727 (2012) [Refereed Article]
 | PDF Restricted - Request a copy 637Kb |
Copyright Statement
Copyright 2012 Australian Mathematical Publishing Association Inc.
DOI: doi:10.1017/S000497271100308X
Abstract
A type of generalized higher derivation consisting of a collection of self-mappings of a ring associated with a monoid, and here called a D-structure, is studied. Such structures were previously used to define various kinds of 'skew' or 'twisted' monoid rings. We show how certain gradings by monoids define D-structures. The monoid ring defined by such a structure corresponding to a group-grading is the variant of the group ring introduced by Nastasescu, while in the case of a cyclic group of order two, the form of the D-structure itself yields some gradability criteria of Bakhturin and Parmenter. A partial description is obtained of the D-structures associated with infinite cyclic monoids.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | derivation, higher derivation, graded ring, monoid algebra |
| Research Division: | Mathematical Sciences |
| Research Group: | Pure Mathematics |
| Research Field: | Algebra and Number Theory |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding Knowledge |
| Objective Field: | Expanding Knowledge in the Mathematical Sciences |
| Author: | Gardner, BJ (Dr Barry Gardner) |
| ID Code: | 83133 |
| Year Published: | 2012 |
| Deposited By: | Mathematics and Physics |
| Deposited On: | 2013-03-01 |
| Last Modified: | 2013-07-22 |
| Downloads: | 0 |
Repository Staff Only: item control page