query: Kernel of homomorphisms in Z/nZ
positive_passages.docid: 21241
positive_passages.text: Proving $\,a\mid bc\!\iff\! \frac{a}{(a,b)}\!\mid c\ $ [general Euclid's Lemma]
negative_passages.docid: 26661
negative_passages.text: Ring homomorphisms from $\mathbb{Z}_n$ to $\mathbb{Z}_m$
negative_passages.docid: 129858
negative_passages.text: "Almost" ring homomorphism
negative_passages.docid: 55900
negative_passages.text: Is there a ring homomorphism $M_2(\mathbb Z)\to \mathbb Z$?
negative_passages.docid: 84132
negative_passages.text: Number of preimages of a group element under a homomorphism.
negative_passages.docid: 146341
negative_passages.text: Finding all ring homomorphisms from a field to itself
negative_passages.docid: 111375
negative_passages.text: Normality of subgroups and Sylow groups under homomorphisms...
negative_passages.docid: 120971
negative_passages.text: (Revised) Prove that $\phi$ is a group homomorphism and find the kernel.
negative_passages.docid: 40678
negative_passages.text: Image of an ideal under a surjective ring homomorphism is an ideal
negative_passages.docid: 1558
negative_passages.text: Number of homomorphisms between two cyclic groups.
negative_passages.docid: 112131
negative_passages.text: Characterizing all ring homomorphisms $C[0,1]\to\mathbb{R}$.
negative_passages.docid: 88930
negative_passages.text: Homomorphism between free groups
negative_passages.docid: 30714
negative_passages.text: A question on ring homomorphisms and maximal ideals.
negative_passages.docid: 48818
negative_passages.text: Homomorphism of local rings
negative_passages.docid: 123419
negative_passages.text: Abstract algebra: homomorphism and an element of a prime order
negative_passages.docid: 31263
negative_passages.text: Quotient rings of Gaussian integers
negative_passages.docid: 154837
negative_passages.text: mapping properties of $(1−z)^i$