Abstract
Herschend-Liu-Nakaoka introduced the notion of n-exangulated categories. It is not only a higher dimensional analogue of extriangulated categories defined by Nakaoka-Palu, but also gives a simultaneous generalization of n-exact categories and (n+2)-angulated categories. Let C be an n-exangulated category and X a full subcategory of C. If X satisfies X⊆P∩I, then we give a necessary and sufficient condition for the ideal quotient C/X to be an n-exangulated category, where P (resp. I) is the full subcategory of projective (resp. injective) objects in C. In addition, we define the notion of n-proper class in C. If ξ is an n-proper class in C, then we prove that C admits a new n-exangulated structure. These two ways give n-exangulated categories which are neither n-exact nor (n+2)-angulated in general.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
