EPIMORPHISM

作品数:6被引量:6H指数:2
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相关期刊:《Science Bulletin》《Journal of Mathematical Research with Applications》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》更多>>
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Notes on McCoy Modules被引量:3
《Journal of Mathematical Research with Applications》2018年第3期247-252,共6页Heqing ZHENG Zhi CHENG Xiaobin YIN 
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...
关键词:McCoy module extension cokernel of monomorphism kernel of epimorphism direct sum 
Homological Epimorphisms, Compactly Generated t-Structures and Gorenstein-Projective Modules被引量:3
《Chinese Annals of Mathematics,Series B》2018年第1期47-58,共12页Nan GAO Xiaojing XU 
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...
关键词:Compactly generated t-structure RECOLLEMENT BBD-induction BPP-induction Homological ring epimorphism Gorensteinprojective module 
Lb-coequalizers and Lb-regular Epimorphisms in the Category of L-sets and Bi-induced Maps
《Chinese Quarterly Journal of Mathematics》2012年第2期169-176,共8页ZHANG Hong TANG Jian-gang LI Guo-hua 
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...
关键词:bi-induced map Lb-monomorphism Lb-epimorphism Lb-coequalizer Lbregular epimorphism 
S-SUPERFLUOUS AND S-ESSENTIAL HOMOMORPHISMS
《Acta Mathematica Scientia》2009年第2期391-401,共11页朱海燕 丁南庆 
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...
关键词:S-essential MONOMORPHISM S-superfluous EPIMORPHISM (pre)cover (pre)envelope 
Homotopy epimorphisms preserve nilpotency
《Chinese Science Bulletin》1996年第4期287-290,共4页林红 沈文淮 左再思 
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), u(?)of(?)v(?)f implies u(?)v(f(?)u(?)f(?)v implies u(?)v). In ref. [1], Lin and Shen
关键词:homotopy-epimorphism homotopy-monomorphism nilpotent SPACE P-NILPOTENT space. 
Localization of homotopy epimorphisms and homotopy monomorphisms
《Chinese Science Bulletin》1995年第12期984-987,共4页沈文淮 左再思 
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...
关键词:LOCALIZATION HOMOTOPY EPIMORPHISM HOMOTOPY monomorphism. 
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