Supported by the National Natural Science Foundation of China(Grant No.11771080).
A coloring of edges of a graph G is injective if for any two distinct edges e1 and e2,the coloring of e1 and e2 are distinct if they are at distance 2 in G or in a common 3-cycle.The injective chromatic index of G is ...
Supported by Research Project in Institutions of Higher Learning in Gansu Province(Grant No.2019B-224);Innovation Fund Project of Colleges and Universities in Gansu Province(Grant No.2020A-277)。
Let A be an abelian category,and(X,Z,Y)be a complete hereditary cotorsion triple.We introduce the definition of n-Y-cotilting subcategories of A,and give a characterization of n-Y-cotilting subcategories,which is simi...
Kilp and Knauer in(Comm.Algebra,1992,20(7),1841-1856)gave characterizations of monoids when all generators in category of right S-acts(S is a monoid)satisfy properties such as freeness,projectivity,strong flatness,Con...
Supported by the National Natural Science Foundation of China(Grant No.11501451);The Fund for Talent Introduction of Northwest Minzu University(Grant No.xbmuyjrc201406)
The notion of strongly W-Gorenstein complexes is introduced for a self-orthogonal class W of modules. We obtain a characterization of such complexes and apply to strongly Gorenstein injective complexes.
Supported by the Provincial Natural Science Research Program of Higher Education Institution of Anhui Province(Grant No.KJ2012Z028)
We consider the conditions under which the class of (m, d)-injective R-modules is (pre)covering. It is shown that every left R-module over a left (m, d)-coherent ring has an (rn, d)-injective cover. Moreover, ...
Supported by the Doctoral Fund of the Ministry of Education of China(Grant No.200803570003);the College Excellent Young Talents Fund of Anhui Province(Grant No.2013SQRL071ZD)
The definition of AP-injectivity wnil-injectivity and almost nil n-injectivity motivates us to generalize the injectivity to almost The aim of this paper is to investigate characterizations and properties of almost w...