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.
In this paper, we define the fuzzy k_i deal as a new fuzzification of the k_ideal in a semiring. Also we study the properties of the image and inverse image of a fuzzy k_ideal in a se miring under homomorphism. For e...In this paper, we define the fuzzy k_i deal as a new fuzzification of the k_ideal in a semiring. Also we study the properties of the image and inverse image of a fuzzy k_ideal in a se miring under homomorphism. For example, the fuzzy k_ideal in the nonnegative integers semiring N is given.展开更多
In this note we introduce a new ideal called subsemi-ideal of a ring R. We obtain a necessary and sufficient condition for a group ring to be a subsemi ideal ring.
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.
文摘In this paper, we define the fuzzy k_i deal as a new fuzzification of the k_ideal in a semiring. Also we study the properties of the image and inverse image of a fuzzy k_ideal in a se miring under homomorphism. For example, the fuzzy k_ideal in the nonnegative integers semiring N is given.
文摘In this note we introduce a new ideal called subsemi-ideal of a ring R. We obtain a necessary and sufficient condition for a group ring to be a subsemi ideal ring.
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.
