# Peter Hu

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bio website location age member for 2 years, 3 months seen Mar 19 at 16:22 profile views 226

My interesting is about commutative algebra, homological algebra, coding theory and all topic related algebra, for exmaple, algebraic geometry, algebraic number theory, algebraic topology and their applications.

This days, I focus on studying and learning in the following topic:

1. Much more commutative algebra and homological algebra, for example, Cohen-Macaulay rings, Koszul complexes and its applications.

2. Algebraic number theory, finite fields and information theory.

3. Applications of algebraic geometry and topology in information theory.

# 131 Actions

 Mar10 accepted Monic irreducible polynomial over an integral domain Mar5 revised Monic irreducible polynomial over an integral domain added 251 characters in body Mar5 comment Monic irreducible polynomial over an integral domain Ah!!!!!!!! Dear all: for the second question, I may find a error! Because there are 2 assumptions of $f_1(y)$, I require that $f_1$ must be monic and have minimal degree... But I don't know $r(y)$ and $r'(y)$ are monic or not!!!!!!! Mar5 comment Monic irreducible polynomial over an integral domain Dear @Bill: does this criterion have a name? or where could I find this criterion? (some papers, text books...) Thank you very much! Mar5 comment Monic irreducible polynomial over an integral domain Dear @Bill: Yeah~ I see. But I just want to insure that any monic polynomial in $D[x]$ is super primitive. Is this statement correct? Mar5 comment Monic irreducible polynomial over an integral domain So..., if $f(x) \in D[x]$ is monic, then $f(x)$ is super primitive . Right? Mar5 revised Monic irreducible polynomial over an integral domain added 37 characters in body Mar5 asked Monic irreducible polynomial over an integral domain Mar3 asked A question in Chapter III.4 of Dino Lorenzini's “An Invitation to Arithmetic Geometry” Jan31 accepted Homomorphism between finitely generated $k$-algebras of (Krull) dimension 1 preserving maximal properties of ideals. Jan31 comment Homomorphism between finitely generated $k$-algebras of (Krull) dimension 1 preserving maximal properties of ideals. Let me check whether I understand your answer correctly or not. I recall the Zariski lemma states that if $k[x_1,\dots,x_n]/M$ is a field, then $x_i + M$ is algebraic over $k$. If we regard $B = k[x_1,\dots,x_n]/I$, then by the correspondence of ideals, we can regard $B/M \simeq k[x_1,\dots,x_n]/N$ with $M = N/I$. Hence, $B/M$ is a finite dimensional $k$-vector space. Is my realization for the first part correctly? Jan31 asked Homomorphism between finitely generated $k$-algebras of (Krull) dimension 1 preserving maximal properties of ideals. Aug28 revised Continuity of $\mathfrak{a}$-adic topologies on completion ring and modules edited title Aug28 comment Continuity of $\mathfrak{a}$-adic topologies on completion ring and modules Thanks for your remind :) Aug28 asked Continuity of $\mathfrak{a}$-adic topologies on completion ring and modules Jul11 comment A simple way to construct a balanced boolean function by extending a lower dimension one OH ! Thank you very much! I need to fix my typo! Jul11 asked A simple way to construct a balanced boolean function by extending a lower dimension one Jul9 accepted An exercise in Fulton's Algebraic Curves Jul9 comment An exercise in Fulton's Algebraic Curves Oh! Your proof is totally same with my proof (in my note book)!! Thank you very much! Jul9 asked An exercise in Fulton's Algebraic Curves
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