In this paper,we give definition and moduler representation of Kothe root for additive cate gories.Using these results,get inner representation of J-root and fully homomorph class of Jscmisimple additive categories.
Let R be a semiprime ring with the center Z(R), d and g be derivations of R, L be a nonzero left ideal of R and rR(L) = 0. Suppose that d(x)x - xg(x) ∈ Z(R) for all x ∈ L, then d(R) Z(R) and the ideal of R generate...Let R be a semiprime ring with the center Z(R), d and g be derivations of R, L be a nonzero left ideal of R and rR(L) = 0. Suppose that d(x)x - xg(x) ∈ Z(R) for all x ∈ L, then d(R) Z(R) and the ideal of R generated by d(R) is in the center of R.展开更多
文摘In this paper,we give definition and moduler representation of Kothe root for additive cate gories.Using these results,get inner representation of J-root and fully homomorph class of Jscmisimple additive categories.
基金Supported by the National Natural Science Foundation of China(19671035)
文摘Let R be a semiprime ring with the center Z(R), d and g be derivations of R, L be a nonzero left ideal of R and rR(L) = 0. Suppose that d(x)x - xg(x) ∈ Z(R) for all x ∈ L, then d(R) Z(R) and the ideal of R generated by d(R) is in the center of R.
