Title of article :
ξ-Phantom Maps in (n+2)-Angulated Categories
Author/Authors :
Mei ، Yuxia Institute of Mathematics - School of Mathematics Sciences - Nanjing Normal University , Wei ، Jiaqun Institute of Mathematics - School of Mathematics Sciences - Nanjing Normal University , Zheng ، Qilian Department of Mathematics - School of Mathematics and Physics - Lanzhou Jiaotong University
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 ).
Keywords :
(n + 2) , Angulated category , n , Proper classes , ξ , Phantom maps , Complete lattice
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
