doi: 10.17706/ijapm.2024.14.1.12-19
FC-Projective Comodules and FC-Projective Dimensions
Qianqian Yuan
*
,
- Department of Mathematics, Faculty of Science, Beijing University of Technology, Beijing 100124, China
- Manuscript received February 28, 2023
- revised April 29, 2023
- accepted August 14, 2023
- published January 30, 2024
Abstract
The purpose of this paper is to investigate <em>FC</em>-projective comodules and <em>FC</em>-projective dimensions. We introduce the concepts of copure exact sequences and <em>FC</em>-projective comodules, and give some equivalent characterizations of <em>FC</em>-projective modules. We also define <em>FC</em>-projective dimensions, which is similar to projective dimensions. We characterize semihereditary and coregular coalgebras related to FC-projective comodules.
Keywords
- Coalgebra
- comodule
- <em>FC</em>-projective comodule
- <em>FC</em>-projective dimension
- semihereditary coalgebra
- coregular coalgebra
How to Cite
Qianqian Yuan and Hailou Yao, "FC-Projective Comodules and FC-Projective Dimensions," International Journal of Applied Physics and Mathematics, vol. 14, no. 1, pp. 12-19, 2024. https://doi.org/ 10.17706/ijapm.2024.14.1.12-19
Copyright & License
Copyright © 2024 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).