The observation of body height and weight of 10 captured wild yak shows the body height and weight of the wild yak at three and four months old were similar with that of domestic yak. At their 24 months old, the body ...The observation of body height and weight of 10 captured wild yak shows the body height and weight of the wild yak at three and four months old were similar with that of domestic yak. At their 24 months old, the body height and weight were higher by 26.9 % and 62.5 % than that of the domestic ones. The results indicate that, once adapted to the half-shed and half-grazing conditions, the tamed Kunlun type of wild yak with superior genetics would grow and develop faster than the domestic yak at elder ages.展开更多
We first give an alternative proof of the well-known Drozd's wild Theorem,which lowers down the dimension 43 to 20. Then we list more minimally wild bocses and discuss the possible differentials of the first arrow...We first give an alternative proof of the well-known Drozd's wild Theorem,which lowers down the dimension 43 to 20. Then we list more minimally wild bocses and discuss the possible differentials of the first arrow of a tame bocs, which is useful for reductions of bocses.展开更多
ON Shanghai’s acrobatic stage, the audience held its breath while it watched a lion put its front paws on the shoulders of a dainty and beautiful young woman and licked her face with its red tongue. The girl was perf...ON Shanghai’s acrobatic stage, the audience held its breath while it watched a lion put its front paws on the shoulders of a dainty and beautiful young woman and licked her face with its red tongue. The girl was perfectly calm, even smiling. This legendary woman is Zhang Xiuhong, a lion-tamer in the Shanghai Acrobatic Troupe. I Fear the Lion When she was 11, Zhang Xiuhong joined the Shanghai Acrobatic Troupe Soon afterward, she was assigned to work as a lion-tamer. The first animal she tamed was a lion cub. From展开更多
Banking regulator keeps a watchful eye on Chinese banks to fend off threats as their credit ratings come into question Intermational credit rating agency Fitch Ratings warned 16 Chinese banks
Let be a connected finite quiver without oriented cycle, A=k（?） the corresponding path algebra with k being an algebraically closed field, A<sup>T</sup> a preprojective tilting module. B=End<sub>A&...Let be a connected finite quiver without oriented cycle, A=k（?） the corresponding path algebra with k being an algebraically closed field, A<sup>T</sup> a preprojective tilting module. B=End<sub>A</sub>T. 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= T<sub>0</sub>⊕ T<sub>1</sub> a tilting module with T<sub>0</sub> nonzero preprojective and T<sub>1</sub> regular, then End<sub>A</sub>T<sub>0</sub> 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].展开更多
Let k be an algebraically closed field. It has been proved by Zhang and Xu that if a bocs is of tame representation type, then the degree of the differential of the first solid arrow must be less than or equal to 3. W...Let k be an algebraically closed field. It has been proved by Zhang and Xu that if a bocs is of tame representation type, then the degree of the differential of the first solid arrow must be less than or equal to 3. We will prove in the present paper that: The bocs is still wild when the degree of the differential of the first arrow is equal to 3. Especially, the bocs with only one solid arrow is of tame type if and only if the degree of the differential of the arrow is less than or equal to 2. Moreover, we classify in this case the growth problems of the representation category of the bocs and layout the sufficient and necessary conditions when the bocs is of finite representation type, tame domestic and tame exponential growth respectively.展开更多
We give a complete classification of tilting bundles over a weighted projective line of type （2, 3, 3）. This yields another realization of the tame concealed algebras of type E6.
文摘The observation of body height and weight of 10 captured wild yak shows the body height and weight of the wild yak at three and four months old were similar with that of domestic yak. At their 24 months old, the body height and weight were higher by 26.9 % and 62.5 % than that of the domestic ones. The results indicate that, once adapted to the half-shed and half-grazing conditions, the tamed Kunlun type of wild yak with superior genetics would grow and develop faster than the domestic yak at elder ages.
文摘We first give an alternative proof of the well-known Drozd's wild Theorem,which lowers down the dimension 43 to 20. Then we list more minimally wild bocses and discuss the possible differentials of the first arrow of a tame bocs, which is useful for reductions of bocses.
文摘ON Shanghai’s acrobatic stage, the audience held its breath while it watched a lion put its front paws on the shoulders of a dainty and beautiful young woman and licked her face with its red tongue. The girl was perfectly calm, even smiling. This legendary woman is Zhang Xiuhong, a lion-tamer in the Shanghai Acrobatic Troupe. I Fear the Lion When she was 11, Zhang Xiuhong joined the Shanghai Acrobatic Troupe Soon afterward, she was assigned to work as a lion-tamer. The first animal she tamed was a lion cub. From
文摘Banking regulator keeps a watchful eye on Chinese banks to fend off threats as their credit ratings come into question Intermational credit rating agency Fitch Ratings warned 16 Chinese banks
基金Project supported by the National Natural Science Foundation of China
文摘Let be a connected finite quiver without oriented cycle, A=k（?） the corresponding path algebra with k being an algebraically closed field, A<sup>T</sup> a preprojective tilting module. B=End<sub>A</sub>T. 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= T<sub>0</sub>⊕ T<sub>1</sub> a tilting module with T<sub>0</sub> nonzero preprojective and T<sub>1</sub> regular, then End<sub>A</sub>T<sub>0</sub> 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].
基金supported by National Natural Science Foundation of China (Grant No. 10731070)
文摘Let k be an algebraically closed field. It has been proved by Zhang and Xu that if a bocs is of tame representation type, then the degree of the differential of the first solid arrow must be less than or equal to 3. We will prove in the present paper that: The bocs is still wild when the degree of the differential of the first arrow is equal to 3. Especially, the bocs with only one solid arrow is of tame type if and only if the degree of the differential of the arrow is less than or equal to 2. Moreover, we classify in this case the growth problems of the representation category of the bocs and layout the sufficient and necessary conditions when the bocs is of finite representation type, tame domestic and tame exponential growth respectively.
文摘We give a complete classification of tilting bundles over a weighted projective line of type （2, 3, 3）. This yields another realization of the tame concealed algebras of type E6.
