本文我们将证明下列结果:设 R—是一个中心为 C 的素环,d 是 R 的一个双侧 R —模自同态,N 是 R 的一个非零理想,并且 p,q,r 是 R 的三个固定元素。(a)如果d(a)~5=0对任意 a∈N,则d=0;(b)如果 pd(a)~3q=0对一切a∈N,则 d=0,p=0或者 q=0;...本文我们将证明下列结果:设 R—是一个中心为 C 的素环,d 是 R 的一个双侧 R —模自同态,N 是 R 的一个非零理想,并且 p,q,r 是 R 的三个固定元素。(a)如果d(a)~5=0对任意 a∈N,则d=0;(b)如果 pd(a)~3q=0对一切a∈N,则 d=0,p=0或者 q=0;(c)如果 R 的特征不等于2,并且 pd(a)~2qd(a)r=0对一切 a∈N或者 pd(a)qd(a)~2r=0对一切 a∈N,那么 d=0或者p、q、r 三者之一等于零。(d)如果 R 的特征不等于2.并且 pd(a)pd(a)qd(a)r=0对一切 a∈N或者 pd(a)qd(a)qd(a)r=0对一切 a∈N或者 pd(a)qd(a)rd(a)r=0对一切 a∈N,那么 d=0或者 p,q,r 三者之一等于零。(e)假设 R 的特征不等于2,p,q,r 是 R 的三个确定的非零元素,并且 d 是 R的一个非零的双侧 R —模自同态使得 pd(a)qd(a)r∈C对一切 a∈N,或者 pd(a)~2q∈C对一切 a∈N,那么 R 是一个交换环。展开更多
The upgrade of all kinds of algebraic structures has been emphasized with the development of fuzzy mathematics.The concept of hypergroup was raised first by Prof.LI Hong_xing in [1]and HX ring was done in [2].In thi...The upgrade of all kinds of algebraic structures has been emphasized with the development of fuzzy mathematics.The concept of hypergroup was raised first by Prof.LI Hong_xing in [1]and HX ring was done in [2].In this paper ,some properties of power ring and quasi_quotient ring are further studied based on paper [3～6].Especially,several theorems of homomorphism and isomorphism of regular power ring are established.展开更多
This paper,combined algebraical structure with analytical system,has studied the part of theory of C~*-modules over A by using the homolgical methods, where A is a commutative C~*-algebra over complex number field C. ...This paper,combined algebraical structure with analytical system,has studied the part of theory of C~*-modules over A by using the homolgical methods, where A is a commutative C~*-algebra over complex number field C. That is to say we have not only defined some relevant new concept,but also obtained some results about them.展开更多
This study investigated how the mode in which the reading-writing integrated continuation task was conducted modulates the effects of second language(L2) syntactic alignment, through the English motion event construct...This study investigated how the mode in which the reading-writing integrated continuation task was conducted modulates the effects of second language(L2) syntactic alignment, through the English motion event construction with manner verbs. Ninety Chinese students were assigned to either of the two experimental groups or a control group, and they all experienced a pretest, an alignment phase and a posttest. In the alignment phase, the two experimental groups completed a reading-writing integrated continuation task but in different modes. For the multi-turn mode,participants reconstructed a picture story by continuing the episodes extracted from the story with one episode presented and continued at a time;for the single-turn mode, the first half of the same picture story was presented as a chunk, and then participants read and continued it. Results show that L2 learners aligned with the target structure in completing the story, and the alignment effect was retained in the posttest conducted after a delay of two weeks. Moreover, syntactic alignment was modulated by task mode with the multi-turn group exhibiting stronger immediate and longterm alignment effects. We conclude that the continuation task is a fruitful context for L2 structural alignment, and the magnitude of alignment effect hinges on interactive intensity.展开更多
文摘本文我们将证明下列结果:设 R—是一个中心为 C 的素环,d 是 R 的一个双侧 R —模自同态,N 是 R 的一个非零理想,并且 p,q,r 是 R 的三个固定元素。(a)如果d(a)~5=0对任意 a∈N,则d=0;(b)如果 pd(a)~3q=0对一切a∈N,则 d=0,p=0或者 q=0;(c)如果 R 的特征不等于2,并且 pd(a)~2qd(a)r=0对一切 a∈N或者 pd(a)qd(a)~2r=0对一切 a∈N,那么 d=0或者p、q、r 三者之一等于零。(d)如果 R 的特征不等于2.并且 pd(a)pd(a)qd(a)r=0对一切 a∈N或者 pd(a)qd(a)qd(a)r=0对一切 a∈N或者 pd(a)qd(a)rd(a)r=0对一切 a∈N,那么 d=0或者 p,q,r 三者之一等于零。(e)假设 R 的特征不等于2,p,q,r 是 R 的三个确定的非零元素,并且 d 是 R的一个非零的双侧 R —模自同态使得 pd(a)qd(a)r∈C对一切 a∈N,或者 pd(a)~2q∈C对一切 a∈N,那么 R 是一个交换环。
文摘The upgrade of all kinds of algebraic structures has been emphasized with the development of fuzzy mathematics.The concept of hypergroup was raised first by Prof.LI Hong_xing in [1]and HX ring was done in [2].In this paper ,some properties of power ring and quasi_quotient ring are further studied based on paper [3～6].Especially,several theorems of homomorphism and isomorphism of regular power ring are established.
文摘This paper,combined algebraical structure with analytical system,has studied the part of theory of C~*-modules over A by using the homolgical methods, where A is a commutative C~*-algebra over complex number field C. That is to say we have not only defined some relevant new concept,but also obtained some results about them.
文摘This study investigated how the mode in which the reading-writing integrated continuation task was conducted modulates the effects of second language(L2) syntactic alignment, through the English motion event construction with manner verbs. Ninety Chinese students were assigned to either of the two experimental groups or a control group, and they all experienced a pretest, an alignment phase and a posttest. In the alignment phase, the two experimental groups completed a reading-writing integrated continuation task but in different modes. For the multi-turn mode,participants reconstructed a picture story by continuing the episodes extracted from the story with one episode presented and continued at a time;for the single-turn mode, the first half of the same picture story was presented as a chunk, and then participants read and continued it. Results show that L2 learners aligned with the target structure in completing the story, and the alignment effect was retained in the posttest conducted after a delay of two weeks. Moreover, syntactic alignment was modulated by task mode with the multi-turn group exhibiting stronger immediate and longterm alignment effects. We conclude that the continuation task is a fruitful context for L2 structural alignment, and the magnitude of alignment effect hinges on interactive intensity.
