On adjoint resolutions and dimensions of modules
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Lixin Mao
Abstract
We introduce and investigate the adjoint resolutions and adjoint dimensions of modules. As a consequence, we give some new characterizations of weak global dimensions of coherent rings in terms of adjoint resolutions and adjoint dimensions of modules.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11771202
Funding source: Natural Science Foundation of Jiangsu Province
Award Identifier / Grant number: BK20160771
Funding source: Nanjing Institute of Technology
Award Identifier / Grant number: CKJA201707
Funding statement: This research was supported by NSFC (No. 11771202), NSF of Jiangsu Province of China (No. BK20160771) and Nanjing Institute of Technology of China (No. CKJA201707).
Acknowledgements
The author would like to express his sincere thanks for the referee for his/her valuable comments and suggestions.
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Artikel in diesem Heft
- Frontmatter
- Stability analysis of delay integro-differential equations of HIV-1 infection model
- Oscillation of first-order differential equations with several non-monotone retarded arguments
- Idempotent matrices with invertible transpose
- Some algebraic aspects of the gluing of differential spaces
- Inner structure in real vector spaces
- Averaged semi-discrete scheme of sum-approximation for one nonlinear multi-dimensional integro-differential parabolic equation
- Differential and integral equations for the 2-iterated Bernoulli, 2-iterated Euler and Bernoulli–Euler polynomials
- On adjoint resolutions and dimensions of modules
- Approximation by modified Jain–Baskakov operators
- Carleson measure and Volterra type operators on weighted BMOA spaces
- The effect of perturbations of frames and fusion frames on their redundancies
- Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces
- Trigonometric identities inspired by the atomic form factor
- W(Lp,Lq) boundedness of localization operators associated with the Stockwell transform
- Voronovskaja’s theorem for functions with exponential growth
- A quantitative Balian–Low theorem for higher dimensions
- Lp(·)–Lq(·) boundedness of some integral operators obtained by extrapolation techniques
- Statistical convergence of multiple sequences on a product time scale
Artikel in diesem Heft
- Frontmatter
- Stability analysis of delay integro-differential equations of HIV-1 infection model
- Oscillation of first-order differential equations with several non-monotone retarded arguments
- Idempotent matrices with invertible transpose
- Some algebraic aspects of the gluing of differential spaces
- Inner structure in real vector spaces
- Averaged semi-discrete scheme of sum-approximation for one nonlinear multi-dimensional integro-differential parabolic equation
- Differential and integral equations for the 2-iterated Bernoulli, 2-iterated Euler and Bernoulli–Euler polynomials
- On adjoint resolutions and dimensions of modules
- Approximation by modified Jain–Baskakov operators
- Carleson measure and Volterra type operators on weighted BMOA spaces
- The effect of perturbations of frames and fusion frames on their redundancies
- Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces
- Trigonometric identities inspired by the atomic form factor
- W(Lp,Lq) boundedness of localization operators associated with the Stockwell transform
- Voronovskaja’s theorem for functions with exponential growth
- A quantitative Balian–Low theorem for higher dimensions
- Lp(·)–Lq(·) boundedness of some integral operators obtained by extrapolation techniques
- Statistical convergence of multiple sequences on a product time scale
