Graded and Nongraded Properties of Partial Tilting Modules and Tilting Modules
Received:January 20, 2007  Revised:July 06, 2008
Key Words: tilting module   partial tilting module   graded module   smash product.  
Fund Project:the National Natural Science Foundation of China (Nos.10371101; 10671161); the Natural Science Foundation of Fujian Province (No.Z0511022) and the Foundation of the Education Committee of Fujian Province (Nos.JA050206; JA06008; JB04215).
Author NameAffiliation
ZHENG Min School of Mathematics and Computer Science, Fujian Normal University, Fujian 350007, China 
CHEN Qing Hua School of Mathematics and Computer Science, Fujian Normal University, Fujian 350007, China 
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Abstract:
      This paper gives the relationships among partial tilting objects (tilting objects) of categories of graded left $A$-modules of type $G$, left $A$-modules, left $A_{e}$-modules and $A\sharp G$-modules, and then proves that for graded partial tilting modules, there exist the Bongartz complements in the category of graded $A$-modules.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.02.015
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