Suppose $A=\mathbb{Q}[x_1,x_2,...,x_n]/(p_1,p_2,..,p_k)$ and $B$ is a subring of it ($p_i$ are polynomial ).How to find ${x\in B:x \text{ is integral over } A}$?

1 | initial version |

Suppose $A=\mathbb{Q}[x_1,x_2,...,x_n]/(p_1,p_2,..,p_k)$ and $B$ is a subring of it ($p_i$ are polynomial ).How to find ${x\in B:x \text{ is integral over } A}$?

2 | No.2 Revision |

Suppose $A=\mathbb{Q}[x_1,x_2,...,x_n]/(p_1,p_2,..,p_k)$ and $B$ is a subring of it ($p_i$ are polynomial ).How to find ${x\in ~~B:x ~~A:x \text{ is integral over } ~~A}$?~~B}$?

3 | No.3 Revision |

Suppose $A=\mathbb{Q}[x_1,x_2,...,x_n]/(p_1,p_2,..,p_k)$ and $B$ is a subring of it ($p_i$ are polynomial ).How to find all ${x\in A:x \text{ is integral over } B}$?

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