Volume 14 Number 1 (2024)
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IJAPM 2024 Vol.14(1): 12-19
DOI: 10.17706/ijapm.2024.14.1.12-19

FC-Projective Comodules and FC-Projective Dimensions

Qianqian Yuan*, Hailou Yao
Department of Mathematics, Faculty of Science, Beijing University of Technology, Beijing 100124, China
*Corresponding author. Tel.: 86+18810686531; email: cherryyyuan77@126.com (Q.Y.)

Manuscript submitted February 28, 2023; revised April 29, 2023; accepted August 14, 2023; published January 30, 2024.

Abstract—The purpose of this paper is to investigate FC-projective comodules and FC-projective dimensions. We introduce the concepts of copure exact sequences and FC-projective comodules, and give some equivalent characterizations of FC-projective modules. We also define FC-projective dimensions, which is similar to projective dimensions. We characterize semihereditary and coregular coalgebras related to FC-projective comodules.

Key words—Coalgebra, comodule, FC-projective comodule, FC-projective dimension, semihereditary coalgebra, coregular coalgebra

Cite:Qianqian Yuan, Hailou Yao, "FC-Projective Comodules and FC-Projective Dimensions," International Journal of Applied Physics and Mathematics, vol. 14, no. 1, pp. 12-19, 2024.

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).

General Information

ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca 
Abstracting/ Indexing: INSPEC(IET), CNKI, Google Scholar, EBSCO, Chemical Abstracts Services (CAS), etc.
E-mail: ijapm@iap.org
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