Schanuel's lemma, the snake lemma, and product and direct sum in $H_v$-modules

Authors

YASER VAZIRI
MANSOUR GHADIRI

DOI

10.3906/mat-1605-22

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

First Page

1121

Last Page

1132

Recommended Citation

VAZIRI, YASER and GHADIRI, MANSOUR (2017) "Schanuel's lemma, the snake lemma, and product and direct sum in $H_v$-modules," Turkish Journal of Mathematics: Vol. 41: No. 5, Article 3. https://doi.org/10.3906/mat-1605-22
Available at: https://journals.tubitak.gov.tr/math/vol41/iss5/3