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- W4378978461 abstract "Let S be an algebra over a commutative ring R, and let σ be an automorphism on S. In this paper, we investigate the notion of generalized σ-derivations on modules, which is an extension of generalized derivations on modules introduced by Nakajima. Namely, we study homological properties of generalized σ-derivations. Also, we equip the category of functors that send S/R-modules to R-modules of generalized σ-derivations with a tensor product. We show this category is semi-monoidal. As an application, we characterize when a generalized derivation on a path algebra of an acyclic quiver is a generalized inner derivation." @default.
- W4378978461 created "2023-06-02" @default.
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- W4378978461 date "2023-06-01" @default.
- W4378978461 modified "2023-09-25" @default.
- W4378978461 title "Categorical properties of generalized <i>σ</i>-derivations on modules" @default.
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- W4378978461 doi "https://doi.org/10.1080/00927872.2023.2216778" @default.
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