English

Derivations and Centroids of Four Dimensional Associative Algebras

Rings and Algebras 2017-02-21 v1

Abstract

In this paper, we focus on derivations and centroids of four dimensional associative algebras. Using an existing classification result of low dimensional associative algebras, we describe the derivations and centroids of four dimensional associative algebras. We also identify algebra(s) that belong to the characteristically nilpotent class among the algebras of four dimensional associative algebras.

Keywords

Cite

@article{arxiv.1606.03119,
  title  = {Derivations and Centroids of Four Dimensional Associative Algebras},
  author = {A. O. Abdulkareem and M. A. Fiidow and I. S. Rakhimov},
  journal= {arXiv preprint arXiv:1606.03119},
  year   = {2017}
}

Comments

20 pages, 2 tables, Accepted in International Journal of Pure and Applied Mathematics