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- Title
ξ-Phantom Maps in (n+2)-Angulated Categories.
- Authors
Mei, Yuxia; Wei, Jiaqun; Zheng, Qilian
- Abstract
Hu, Zhang and Zhou introduced and studied the notion of proper classes in extriangulated categories and the notion of n-proper classes in n-exangulated categories. As a special case, we obtain the definition of n-proper classes in (n + 2) -angulated categories. Inspired by the work of Beligiannis (J Algebra 227(1): 268–361, 2000), we introduce the notion of ξ -phantom maps in (n + 2) -angulated categories. We prove that the family of n-proper classes of (n + 2) -angles in the (n + 2) -angulated category (C , Σ , Ω) forms a complete lattice under the partial order of inclusion. We also prove that there exists a lattice isomorphism between n-proper classes of (n + 2) -angles and special ideals of (C , Σ , Ω) .
- Subjects
ISOMORPHISM (Mathematics); ALGEBRA
- Publication
Bulletin of the Iranian Mathematical Society, 2022, Vol 48, Issue 4, p1927
- ISSN
1018-6301
- Publication type
Article
- DOI
10.1007/s41980-021-00623-6