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visits member for 2 years
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PhD

Interests:

Ring and module theory

Clifford algebra/Geometric algebra

Mathematical physics

Applications of abstract algebra


Apr
11
comment Let $x,y \in \mathbb{R}_{>0}$. If $x<y$ then $0<1/y<1/x$.
I guess you believe $1/y$ and $1/z$ are positive... so the part you're stuck at is $1/y<1/x$?
Apr
11
revised Let $x,y \in \mathbb{R}_{>0}$. If $x<y$ then $0<1/y<1/x$.
added a tag, improved the title
Apr
11
comment Product Ring isomorphism question
@user113525 +1 Good job writing up this question :)
Apr
11
comment What is the radius of the spheres if all touch eachother?
I had this same question a few years ago :) If the solution I recorded is right, the golden ratio is involved :D
Apr
10
answered Is there a generalization of the twin prime conjecture to rings or certain rings?
Apr
10
answered Can a ring isomorphism change the structure of a module?
Apr
10
comment Exchange of direct product in Jacobson Radical
@SOUMITRADAS Cool. With either of those definitions, you can check this. If you don't have luck with the suggestions above, you could try the $1-xy$ version, which works well in this situation.
Apr
10
revised projective dimension of modules over triangular matrix rings
tex markup
Apr
10
comment projective dimension of modules over triangular matrix rings
Thanks for adding that info.
Apr
10
comment Set of non-units in a ring
Actually, you don't even need $S$ to be a left ideal. It suffices if it's just an additive subgroup of $R$.
Apr
10
answered Free $A$-module isomorphic to a direct sum of copies of $A$?
Apr
10
comment “Here's a cool problem”: a collection of short questions with clever solutions
The idea I came up with was to multiply all these points by $z$ and conclude that $|z|=1$. Is this the idea, or is there and even simpler way?
Apr
10
comment Exchange of direct product in Jacobson Radical
What definitions of the Jacobson radical do you use? Where are you stuck checking the containments ?
Apr
10
answered Not all ideals are finitely generated
Apr
10
answered Number of maximal and prime ideals
Apr
9
answered Rotation of a vector
Apr
9
revised Co-ordinate Geometry Equation of a circle
deleted 85 characters in body
Apr
9
comment Co-ordinate Geometry Equation of a circle
Pleading for fast help does not go over as well as providing (even just a little bit) about what you've tried so far. If you do the latter thing, you usually will get quick help right away.
Apr
9
answered Co-ordinate Geometry Equation of a circle
Apr
9
comment A ring automorphism in cyclotomic field
@DavidLoeffler Not duplicate :( He's asking what the question means there, and here he is asking about how to solve it here. The questions and answers to both are going to be completely disjoint.