4 papers
Orthogonal Model Structures
Yang Gao, Yu-xiao Yang, Pu Zhang
This paper studies orthogonal model structures, i.e., model structures such that a lifting in the Lifting axiom is unique. Cofibrant (fibrant) objects are defined without initial (…
Homotopy categories of admissible model structures on extriangulated categories
Shun-Jie Li, Yang Gao, Pu Zhang
The extriangulated category is a simultaneous generalization of exact categories and triangulated categories. H. Nakaoka and Y. Palu have proved that the homotopy category of an ad…
Weakly Gorensteinness of tensor algebras and Morita algebras
Nan Gao, Pu Zhang, Shijie Zhu
An algebra is left weakly Gorenstein if any semi-Gorenstein-projective left -modules is Gorenstein-projective. The weakly Gorensteinness of two kinds of algebras are answere…
Bi-Frobenius quantum complete intersections with permutation antipodes
Hai Jin, Pu Zhang
Quantum complete intersections are Frobenius algebras, but in the most cases they can not become Hopf algebras. This paper aims to find bi-Frobenius algebra stru…