非零理想 [
fēi líng lǐ xiǎng]
[数] non-nil ideal
[数] nonzero ideal
- 一个环R∈(M)当且仅当R的每一个非零同态象或者包含一个非零M理想或者有本质理想。
A ring Re, (M) iff each nonzero homomorphic image of R either contains a nonzero M-ideal or has an essential ideal. - 在本文中,我们得到一个关于每个非零理想均是素理想幂的交换环的分类定理。
In this paper, A classification theorem for commutative rings in which every non-zero ideal is a power of a prime ideal is obtained. - 本文讨论了由原子(即非零极小元)生成的BCK—代数。证明了原子生成的BCK—代数的非零同态象及非零理想都是原子生成的。
In this paper, we discuss the structures of BCK-algebras generated by atoms, and show that the homomorphic images of BCK-algebras generated by atoms are generated by atoms, so are their ideals.