The relative dihedral homology of involutive algebras

Let f:A→B 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.

Saved in:
Bibliographic Details
Main Author: Y. Gh. Gouda
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171299228074
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850169908480966656
author Y. Gh. Gouda
author_facet Y. Gh. Gouda
author_sort Y. Gh. Gouda
collection DOAJ
description Let f:A→B 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.
format Article
id doaj-art-ad196051ee5349778c1e1e87785bf38b
institution OA Journals
issn 0161-1712
1687-0425
language English
publishDate 1999-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-ad196051ee5349778c1e1e87785bf38b2025-08-20T02:20:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122480781510.1155/S0161171299228074The relative dihedral homology of involutive algebrasY. Gh. Gouda0Department of Mathematics, Faculty of Science, South Valley University, Aswan, EgyptLet f:A→B 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.http://dx.doi.org/10.1155/S0161171299228074Dihedral homologyfree involutive algebrarelative dihedral homology.
spellingShingle Y. Gh. Gouda
The relative dihedral homology of involutive algebras
International Journal of Mathematics and Mathematical Sciences
Dihedral homology
free involutive algebra
relative dihedral homology.
title The relative dihedral homology of involutive algebras
title_full The relative dihedral homology of involutive algebras
title_fullStr The relative dihedral homology of involutive algebras
title_full_unstemmed The relative dihedral homology of involutive algebras
title_short The relative dihedral homology of involutive algebras
title_sort relative dihedral homology of involutive algebras
topic Dihedral homology
free involutive algebra
relative dihedral homology.
url http://dx.doi.org/10.1155/S0161171299228074
work_keys_str_mv AT yghgouda therelativedihedralhomologyofinvolutivealgebras
AT yghgouda relativedihedralhomologyofinvolutivealgebras