International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 4, Pages 807-815

The relative dihedral homology of involutive algebras

Y. Gh. Gouda

Department of Mathematics, Faculty of Science, South Valley University, Aswan, Egypt

Received 23 October 1996; Revised 19 May 1997

Copyright © 1999 Y. Gh. Gouda. 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.


Let f:AB be a homomorphism of involutive algebras A,B. The purpose of this paper is to define a free involutive algebra resolution of algebra B over f and use it to define and study the relative dihedral homology.