In this paper, by using Gr bner-Shirshov bases theories, we prove that each countably generated associative differential algebra （resp., associative λ-algebra, associa- tive Ω-differential algebra） can be embedded...In this paper, by using Gr bner-Shirshov bases theories, we prove that each countably generated associative differential algebra （resp., associative λ-algebra, associa- tive Ω-differential algebra） can be embedded into a simple 2-generated associative differ- ential algebra （resp., associative Ωalgebra, associative λ-differential algebra）.展开更多
Applying the Riemann-Roch theorem,we calculate the dimension of a kind of mero- morphicλ-differentials’ space on compact Riemann surfaces.And we also construct a basis of theλ-differentials’ space.As the main resu...Applying the Riemann-Roch theorem,we calculate the dimension of a kind of mero- morphicλ-differentials’ space on compact Riemann surfaces.And we also construct a basis of theλ-differentials’ space.As the main result,the Cauchy type of integral formula on compact Riemann surfaces is established.展开更多
文摘In this paper, by using Gr bner-Shirshov bases theories, we prove that each countably generated associative differential algebra （resp., associative λ-algebra, associa- tive Ω-differential algebra） can be embedded into a simple 2-generated associative differ- ential algebra （resp., associative Ωalgebra, associative λ-differential algebra）.
基金This work was supported by the National Natural Science Foundation of China(Grant No.10626054,10701077)the Knowledge Innovation Project of Chinese Academy of Sciences(Grant No.KJCX3-SYW-S03)the National Key Basic Research Project of China(Grant No.2004CB31800,2006CB805905)
文摘Applying the Riemann-Roch theorem,we calculate the dimension of a kind of mero- morphicλ-differentials’ space on compact Riemann surfaces.And we also construct a basis of theλ-differentials’ space.As the main result,the Cauchy type of integral formula on compact Riemann surfaces is established.
