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tilting modules over path algebras of Dynkin type and complete slice modules

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Science China Mathematics 2005年第1期48卷 97-106页

作者： WANG Minxiong LIN Yanan Department of Mathematics Huaqiao UniversityQuanzhou 362011China Department of MathematicsXiamen UniversityXiamen 361005China

Let T be a tilting A-module over a path algebra of Dynkin *** prove thatif the indecomposable direct summands of T are in the different T-orbits of the AR-quiverof A,then T is a complete slice module.

关键词： tilting module,path algebra,slice module,hammock

On Tubular tilting Objects in the Stable Category of Vector Bundles

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Acta Mathematica Sinica,English Series 2019年第4期35卷 494-512页

作者： Jian Min CHEN Ya Nan LIN Shi Quan RUAN School of Mathematical Sciences Xiamen University

The present paper focuses on the study of the stable category of vector bundles for the weighted projective lines of weight triple. We find some important triangles in this category and use them to construct tilting o... 详细信息

关键词： tilting sheaf weighted projective line stable category cluster category tubular algebra

From classical tilting to two-term silting

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Science China Mathematics 2019年第7期62卷 1233-1240页

作者： Aslak Bakke Buan Department of Mathematical Sciences Norwegian University of Science and Technology

We survey some recent results generalizing classical tilting theory to a theory of two-term silting objects. In particular, this includes a generalized Brenner-Butler theorem, and a homological characterization of alg... 详细信息

关键词： tilting silting derived categories

Probing the Non-equilibration Component of tilting Spin Mode

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Chinese journal of nuclear physics 1994年第2期16卷 108-111页

作者： Liu, Zuhua Zhang, Huanqiao Xu, Jincheng Qian, XIng Qiao, Yu Lin, Chengjian Xu, Kan China Inst of Atomic Energy Beijing China

-The probabilities PNCNE of non-equilibration component of tilting spinmode have been extracted from the experimental fragment anisotropies for thesystems of 16O+232Th,19F+232Th,and 16O+238*** is found that as a function ofBf（〈L〉）/Tsad,the values of PNCNF observed experimentally and expected on the ba-sis of fission before equilibration model have opposite trends.

关键词： Fission tilting spin mode Non-equilibration

AN EFFECTIVE CRITERION FOR UNIQUENESS OF THE tilting MODULE

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Chinese Science Bulletin 1992年第18期37卷 1508-1511页

作者：林亚南彭联刚 Department of Mathematics Beijing Normal University Beijing 100875 PRC

Throughout this note, we assume that k is an algebraically closed field and A is a basic connected finite-dimensional algebra over k (associative, with identity). All modules over an algebra A are finitely generated left A-modules. We usually denote, up to isomorphism, by {P_A(a)|a∈I} the set of all indecomposable projective modules, by {E_A(a)|a∈I} the set of all indecomposable injective modules, and by {S_A(a)|a∈I} the set of all simple modules,

关键词： tilting module top socle ordinary quiver of algebra.

ENDOMORPHISM ALGEBRAS OF PREPROJECTIVE PARTIAL tilting MODULES

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Chinese Science Bulletin 1992年第22期37卷 1857-1860页

作者：章璞 University of Science and Technology of China Hefei 230026 PRC

Let be a connected finite quiver without oriented cycle, A=k（?） the corresponding path algebra with k being an algebraically closed field, AT a preprojective tilting module. B=EndAT. Then B is called a tame （resp. wild）concealed algebra provided is an Euclidean （resp. wild ） graph. The following result is important in the representation theory of tame concealed algebras （see [1,4.9]）: if A is tame concealed, T= T0⊕ T1 a tilting module with T0 nonzero preprojective and T1 regular, then EndAT0 is tame concealed. The main purpose of this note is to generalize it to the 'wild' case. For this we generally consider the endomorphism algebra of preprojective partial tilting modules over a concealed algebra. For the notations the readers can refer to Ref.[1].

关键词： preprojective modules partial tilting modules tame(wild)concealed algebras

SEPARATING tilting MODULES

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Chinese Science Bulletin 1992年第12期37卷 975-978页

作者：章璞 Department of Mathematics Beijing Normal University Beijing 100875 PRC University of Science and Technology of china.Hefei 230026PRC

Let A be a basic, connected and finite-dimensional algebra over an algebraically closed field k. A tilting module A^T is called separating if the torsion theory (F(A^T), G(A^T)) induced by A^T is splitting in A-mod, i. e. any indecomposable module A^M belongs either to F(A^T) or to G(A^T). In this note we prove the following main result by using the representation theory of representation-infinite hereditary algebra.

关键词： separating tilting module slice hereditary algebra one-point extension

A Study on the Characteristics for the Ground Vibration Due to the Travelling tilting Train

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Engineering（科研） 2013年第9期5卷 729-734页

作者： Hee Seok Kim Structural Engineering Research Division Korea Institute of Construction Technology Republic of Korea

The development of the tilting train can contribute to solve the economic burden and enhance the transportation means of areas that did not share the benefits of the high speed railway. But the dynamic behavior caused by the interaction between the train and the track as well as the environmental vibrations along the railway should be evaluated to secure the safety of the train and riding comfort. In this paper a study on the characteristics for ground vibration due to the tilting train travelling in the conventional line are carried out. The transmitted load into the ground is computed through a study on the interrelation between the tilting car and the line. This load is applied into the numerical model which is one for the analysis of ground vibration due to the travelling tilting car. The far fields on the numerical model are formed by the absorbing boundary using dashpot, one of the most widely used absorbing boundary in finite element analysis. Using this numerical model, the analysis of the ground vibration characteristics caused by travelling tilting car is performed. From the analysis, it is shown that the transferred load due to the tilting train is larger than that of the conventional train.

关键词： Ground Vibration tilting Car Absorbing Boundary

A Study on the Characteristics and the Effective Reduction Methods for the Ground Vibration Due to the Travelling tilting Train

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Engineering（科研） 2014年第4期6卷 202-209页

作者： Hee Seok Kim Structural Engineering Research Division Korea Institute of Construction Technology Goyang-Si Republic of Korea

In this paper, a study on the characteristics and the reduction methods of ground vibration due to the tilting train travelling in the conventional line is carried out. The load transmitted into the ground is computed considering the interaction between the tilting car and the line. This load is then applied in the numerical model for the analysis of ground vibration due to the travelling tilting car. The far-fields of the numerical model are modeled using the dashpot, as one of the most widely used absorbing boundaries in finite element analysis. Using this numerical model, the analysis of the ground vibration characteristics caused by the travelling tilting car and the analysis of the blocking effect of the ground vibration by wave barriers are performed. From the numerical analysis, it is shown that the blocking effect of the trench and the barrier filled with soft material is more effective than that of the barrier filled with hard material.

关键词： Component Ground Vibration tilting Car Absorbing Boundary Wave Barrier