关键词: 平凡扩张, Ding投射模, 强Ding投射模

Abstract: Let R be a trivial ring extension, where R be a ring, M be an (R,R)-bimodule. We prove that (X,α) is a strongly Ding projective left Rmodule，and coker(α) is a strongly Ding projective left R-module under certain conditions.

Key words: trivial extension, Ding projective module, strongly Ding projective module