46,203 reputation
838106
bio website
location USA
age
visits member for 2 years, 5 months
seen 12 hours ago

PhD

Interests:

Ring and module theory

Clifford algebra/Geometric algebra

Mathematical physics

Applications of abstract algebra


17h
comment What are good references for the theory of Cohen-Macaulay rings?
Consider putting your question in the title as well as in the body of the question. An overly generic, boring title like this one is bound to be ignored by lots of people. I think you would be getting a lot of responses by now if you had instead said "Good references for Cohen Macaulay theory"
1d
answered Understanding the term “Abstraction” in mathematics
1d
revised Does the class of all finite unions of closed-open intervals on $\mathbb{R}$ form a ring sets?
rings of sets are really more part of measure theory than ring theory
1d
comment What does $R[[X]]$ and $R(X)$ stands for?
@vuur Good comment: I adapted the solution to it.
1d
revised What does $R[[X]]$ and $R(X)$ stands for?
added 847 characters in body
2d
comment What does $R[[X]]$ and $R(X)$ stands for?
@linearalgebrareviewr I'm just saying that they're not as easy to describe as polynomials, and generally not as useful. Sets of functions are pretty useful, but I can't think of any place where the set of polynomial functions is particularly useful. I don't see the connection of your example to the set of polynomial functions...regards
2d
comment What does $R[[X]]$ and $R(X)$ stands for?
Over certain rings, if you interpret their polynomials as functions, two different polynomials can produce the same function. In algebra we simply don't have much necessity for interpreting them as functions, and we want all polynomials to stand on their own.
2d
comment Conditions for subring.
@AdamHughes fantastic!
2d
revised What does $R[[X]]$ and $R(X)$ stands for?
edited tags
2d
comment What does $R[[X]]$ and $R(X)$ stands for?
The set of polynomial functions is trickier than you think. You probably just mean "polynomials."
2d
answered What does $R[[X]]$ and $R(X)$ stands for?
2d
revised Commutative ring and maximal ideal problem
deleted 225 characters in body
2d
answered Commutative ring and maximal ideal problem
2d
comment Non Maximal Prime ideal!
@ArpitKansal Actually the site search worked pretty well in this case, too. I put in "prime maximal continuous function" and the duplicate was fourth on the list.
2d
comment Non Maximal Prime ideal!
@Stephen Unless I'm just fooled by similarities, I think your approach was already used at this other duplicate of this question.
2d
comment Non Maximal Prime ideal!
Please also add to your list of "things to do before asking a question" a thorough search of our questions that already exist. This is the third question you've asked recently that could be considered a duplicate. I found this one by googling "site: math.stackexchange.com maximal prime ideal continuous functions".
2d
answered Why is axiom of choice needed? (Equivalent conditions for Noetherian)
2d
comment Description of real projective spaces in various contexts
+1 interesting :)
2d
comment How to find identity and inverse for the group $(\mathbb{Z}, \ast)$, where $a \ast b = a+b-ab$
@Lehs That would not work either, since $-1$ wouldn't be invertible (same logic as you gave in the initial comment.)
2d
revised How to find identity and inverse for the group $(\mathbb{Z}, \ast)$, where $a \ast b = a+b-ab$
added 68 characters in body