Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2002; 39(6): 881-898

Printed November 1, 2002

Copyright © The Korean Mathematical Society.

A generalization of homological algebra

B. Davvaz and H. Shabani-Solt

Yazd University

Abstract

Our aim in this paper is to introduce a generalization of some notions in homological algebra. We define the concepts of chain $U$-complex, $U$-homology, chain $(U,U')$-map, chain $(U,U')$-homotopy and $\mathcal U$-functor. We also obtain some interesting results. We use these results to find a generalization of Lambek Lemma, Snake Lemma, Connecting Homomorphism and Exact Triangle.

Keywords: chain $U$-complex, chain $(U,U')$-homotopy, $U$-functor, $U$-homology

MSC numbers: 16E05, 16E30

Stats or Metrics

Share this article on :

Related articles in JKMS