Abstract
In this article, we provide a new generalization of tilting modules, named (generalized) tilting modules with respect to σ[M], or simply (generalized) M-tilting modules and then characterize (generalized) M-tilting modules using the projective dimension in under certain conditions. We discuss the relation between this new generalization and the Wisbauer’s generalization and study some of its properties. Also, when M is a -module we introduce and study “partial M-tilting modules” as a generalized form of partial tilting modules.
2020 Mathematics Subject Classification: