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.
$H_v$-module, snake lemma, Schanuel's lemma, product and direct sum, star homomorphism, exact sequence
VAZIRI, YASER and GHADIRI, MANSOUR
"Schanuel's lemma, the snake lemma, and product and direct sum in $H_v$-modules,"
Turkish Journal of Mathematics: Vol. 41:
5, Article 3.
Available at: https://journals.tubitak.gov.tr/math/vol41/iss5/3