Star Projective and Star Injective Hv-Modules

A. Mortazavi, Bijan Davvaz

Abstract


In this paper, we introduce the concepts of product and direct
sum, star projective and star injective in $H_v$-modules. We
investigate generalizations of some notions in homological algebra
to prove the five lemma and star projective and star injective
theorems in $H_v$-modules. We determine  equivalent conditions for
split sequences in $H_v$-modules and  present some related
results.

Keywords


$H_v$-module, direct product and direct sum, star projective, star injective, split sequence.

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DOI: https://doi.org/10.22342/jims.24.1.490.%25p

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p-ISSN:2086-8952e-ISSN:2460-0245