FP-injective objects in the category of N-complexes
Publication details: New Delhi Springer 2024Edition: Vol.55(1), MarDescription: 242-255pSubject(s): Online resources: In: Indian journal of pure and applied mathematicsSummary: We show that an N-complex of modules C is FP-injective if and only if C is N-exact and is an FP-injective module for each and each by virtue of Gaussian binomial coefficients. Applications of this result go in three directions. Firstly, over a coherent ring, we prove that a bounded above N-complex C is FP-injective if and only if C is N-exact and is an FP-injective module for each . Secondly, we obtain some examples of FP-injective N-complexes for some fixed integer N. Finally, we give a characterization of coherent rings.| Item type | Current library | Status | Barcode | |
|---|---|---|---|---|
Articles Abstract Database
|
School of Engineering & Technology Archieval Section | Not for loan | 2024-1563 |
We show that an N-complex of modules C is FP-injective if and only if C is N-exact and is an FP-injective module for each and each by virtue of Gaussian binomial coefficients. Applications of this result go in three directions. Firstly, over a coherent ring, we prove that a bounded above N-complex C is FP-injective if and only if C is N-exact and is an FP-injective module for each . Secondly, we obtain some examples of FP-injective N-complexes for some fixed integer N. Finally, we give a characterization of coherent rings.
There are no comments on this title.
Click on an image to view it in the image viewer