R_as-Projective Modules

Sarah Sh Hasan, Alaa A. Elewi Β· Iraqi Journal of Science Β· 2025

A submodule A of an β„›module 𝑀 is β„› -Annihilator-small submodule (β„› π‘Žπ‘  -π‘ π‘’π‘π‘šπ‘œπ‘‘π‘’π‘™π‘’) if whenever 𝐴 + 𝐴 1 = 𝛭, A 1 is a faithful submodule of 𝑀, implies that 𝐴𝑛𝑛 (A 1 ) = 0.In this paper, we introduce the notation of β„› π‘Žπ‘  -projective as a generalization of projective modules.Also, we define and present some properties of β„› π‘Žπ‘ epimorphism.

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