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Dual pairs of tilting pairs
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作者 廖贻华 陈建龙 《Journal of Southeast University(English Edition)》 EI CAS 2011年第3期347-350,共4页
A module pair (C, T) over an Artin algebra A is called a tilting pair if both C and T are selforthogonal modules and the conditions T e ada C and C ∈ add T hold. The duality on a tilting pair is investigated to dis... A module pair (C, T) over an Artin algebra A is called a tilting pair if both C and T are selforthogonal modules and the conditions T e ada C and C ∈ add T hold. The duality on a tilting pair is investigated to discuss the condition under which the dual of a tilting pair is also a tilting pair. A necessary and sufficient condition of (D(7), D(C) ) being an n-tilting pair over an Artin algebra for an n-tilting pair ( C, 7) is given. And, a necessary and sufficient condition of ( T^*, C^* ) being an ntilting pair over a selfinjective Artin algebra for an n-tilting pair (C, 7) is also given. 展开更多
关键词 selforthogonal module selfinjective dual module tilting pair
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Tilting Bimodules from Tilting Pairs
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作者 Yi Hua LIAO Jian Long CHEN 《Journal of Mathematical Research and Exposition》 CSCD 2011年第1期109-114,共6页
Tilting pair was introduced by Miyashita in 2001 as a generalization of tilting module. In this paper, we construct a tilting left Endh(C)-right Endh(T)-bimodule for a given tilting pairs (C,T) in modh, where A ... Tilting pair was introduced by Miyashita in 2001 as a generalization of tilting module. In this paper, we construct a tilting left Endh(C)-right Endh(T)-bimodule for a given tilting pairs (C,T) in modh, where A is an Artin algebra. 展开更多
关键词 selforthogonal module tilting bimodule tilting pair.
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Approximations and cotorsion pairs related to a tilting pair 被引量:1
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作者 Yihua LIAO Jianlong CHEN 《Frontiers of Mathematics in China》 SCIE CSCD 2013年第6期1367-1376,共10页
The notion of a tilting pair Miyashita in 2001. It is a useful tool in cotorsion pairs related to a fixed tilting (covariantly) finite subcategory and a tilting pair were given in this paper. over artin algebras was... The notion of a tilting pair Miyashita in 2001. It is a useful tool in cotorsion pairs related to a fixed tilting (covariantly) finite subcategory and a tilting pair were given in this paper. over artin algebras was introduced by the tilting theory. Approximations and pair were discussed. A eontravariantly eotorsion pair associated with a fixed 展开更多
关键词 selforthogonal module contravariantly (covariantly) finite subcategory cotorsion pair tilting pair
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