International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 69248, 21 pages
doi:10.1155/IJMMS/2006/69248

(Co)homology of triassociative algebras

Donald Yau

Department of Mathematics, The Ohio State University Newark, 1179 University Drive, Newark 43055, OH, USA

Received 24 October 2005; Revised 28 March 2006; Accepted 6 April 2006

Copyright © 2006 Donald Yau. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study homology and cohomology of triassociative algebras with nontrivial coefficients. The cohomology theory is applied to study algebraic deformations of triassociative algebras.