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

Authors

YASER VAZIRI
MANSOUR GHADIRI

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.

DOI

10.3906/mat-1605-22

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, Y, & GHADIRI, M (2017). Schanuel's lemma, the snake lemma, and product and direct sum in $H_v$-modules. Turkish Journal of Mathematics 41 (5): 1121-1132. https://doi.org/10.3906/mat-1605-22