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.

Keywords: $H_v$-module, snake lemma, Schanuel's lemma, product and direct sum, star homomorphism, exact sequence

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