- Turkish Journal of Mathematics
- Vol: 41 Issue: 5
- Schanuel's lemma, the snake lemma, and product and direct sum in $H_v$-modules
Schanuel's lemma, the snake lemma, and product and direct sum in $H_v$-modules
Authors : Yaser Vaziri, Mansour Ghadiri
Pages : 1121-1132
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this paper we find a generalization of the snake lemma and Schanuel's lemma in $H_v$-modules. We define the isomorph sequences and determine the conditions to split the exact sequences in $H_v$-modules. Some interesting results on these concepts are given.Keywords : $H_v$-module, snake lemma, Schanuel's lemma, product and direct sum, star homomorphism, exact sequence