GENERALIZED HIGHER DERIVATIONS

Authors

  • Elena P. Cojuhari Technical University of Moldova

Keywords:

Derivation, higher derivation, graded ring, monoid algebra.

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 2, 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. DOI: 10.1017/S0004972711003364

Author Biography

Elena P. Cojuhari, Technical University of Moldova

associate professor, Department of Mathematics

Published

2012-08-27

Issue

Vol. 86 No. 2 (2012)

Section

Articles
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