query: Determine the automorphism of ring
positive_passages.docid: 146341
positive_passages.text: Finding all ring homomorphisms from a field to itself
negative_passages.docid: 144105
negative_passages.text: Ring homomorphism from $\mathbb Z$ to $\mathbb Z$ is always identity or $0$
negative_passages.docid: 78835
negative_passages.text: An automorphism of the field of $p$-adic numbers
negative_passages.docid: 44396
negative_passages.text: Noetherian Ring under a Homomorphism / homomorphic function / map
negative_passages.docid: 65900
negative_passages.text: Show that a finite group with certain automorphism is abelian
negative_passages.docid: 55900
negative_passages.text: Is there a ring homomorphism $M_2(\mathbb Z)\to \mathbb Z$?
negative_passages.docid: 44361
negative_passages.text: An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity
negative_passages.docid: 3829
negative_passages.text: Number of automorphisms of a direct product of two cyclic $p$-groups
negative_passages.docid: 146990
negative_passages.text: How to find the number of automorphisms on $\mathbb Z_2\times \mathbb Z_4$
negative_passages.docid: 13761
negative_passages.text: Automorphisms in $\mathbb{Z}_n$
negative_passages.docid: 92420
negative_passages.text: Characteristic of  a Non-unital Integral Ring
negative_passages.docid: 68728
negative_passages.text: Why does the natural ring homomorphism induce a surjective group homomorphism of units?
negative_passages.docid: 97608
negative_passages.text: Showing a Ring of endomorphisms is isomorphic to a Ring
negative_passages.docid: 30327
negative_passages.text: $\ker \phi = (x_1-a_1, ..., x_n-a_n)$ for a ring homomorphism $\phi: R[x_1, ..., x_n] \to R$
negative_passages.docid: 145221
negative_passages.text: Ring isomorphism (polynomials in one variable)
negative_passages.docid: 73689
negative_passages.text: A question about the equivalence relation on the localization of a ring.
negative_passages.docid: 1026
negative_passages.text: Ring homomorphism with $\phi(1_R) \neq1_S$