Supported by the National Natural Science Foundation of China(Grant No.11471017);the Natural Science Foundation of Anhui Higher Education Institutions of China(Grant No.KJ2018A0304);the Doctoral Research Foundation and the Research Culture Foundation of Anhui Normal University(Grant No.2014xmpy11)
Let R be a ring with an identity and C(R) be the category of right R-modules. In this paper we introduce the notion of semi-McCoy module. With this notion we show that McCoy modules of C(R) are closed under kernel...
The aim of this paper is two-fold.Given a recollement(T′,T,T′′,i*,i_*,i~!,j!,j*,j*),where T′,T,T′′are triangulated categories with small coproducts and T is compactly generated.First,the authors show that the BB...
Foundation item: Supported by the National Natural Science Foundation of China(10871137)
In this paper,it gives the definition of the category of ■-sets and bi-induced maps whose true value set is a Locale,a complete Heyting algebra.In this category it defines the L_b-monomorphisms and the L_b-epimorphis...
Supported by Specialized Research Fund for the Doctoral Program of Higher Education (20050284015);National Natural Science Foundation of China (10771096)
Let R be a ring and S a class of R-modules. S-superfluous epimorphisms and S-essential monomorphisms are introduced and studied in this article. As applications, some new characterizations of von Neumann regular rings...
Recall that f: X→Y is a homotopy epimorphism (monomorphism) if given u, v: Y→W(u, v:W→X), u(?)of(?)v(?)f implies u(?)v(f(?)u(?)f(?)v implies u(?)v). In ref. [1], Lin and Shen
Project supported by the National Natural Science Foundation of China.
Recall that f: X→Y is a homotopy epimorphism (monomorphism), if given u, v: Y→W (u, v: W→X), uofvof implies uv (foufov implies uv). In this note, we shall consider the localization of homotopy epimorphisms andmonom...