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- W2076374652 abstract "Let R be a ring, n, d be fixed non-negative integers, [Formula: see text] the class of (n,d)-injective left R-modules, and [Formula: see text] the class of (n,d)-flat right R-modules. In this paper, we prove that if R is a left n-coherent ring and m ≥ 2, then [Formula: see text] if and only if [Formula: see text], if and only if Ext m+k (M,N) = 0 for all left R-modules M, N and all k ≥ -1, if and only if Ext m-1 (M,N) = 0 for all left R-modules M, N. Meanwhile, we prove that if R is a left n-coherent ring, then − ⊗ − is right balanced on [Formula: see text] by [Formula: see text], and investigate the global right [Formula: see text]-dimension of [Formula: see text] and the global right [Formula: see text]-dimension of [Formula: see text] by right derived functors of − ⊗ −. Some known results are obtained as corollaries." @default.
- W2076374652 created "2016-06-24" @default.
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- W2076374652 date "2015-04-15" @default.
- W2076374652 modified "2023-09-27" @default.
- W2076374652 title "On n-Coherent Rings and (n,d)-Injective Modules" @default.
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- W2076374652 doi "https://doi.org/10.1142/s1005386715000309" @default.
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