All Questions
Tagged with applications abstract-algebra
36
questions
5
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1
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152
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applications of (topological and algebraic) commutative diagrams in organic synthesis
In algebraic topology, there are a lot of commutative diagrams and commutative diagrams up to homotopy. Different ways of compositions of maps in a commutative diagram are equal or homotopy equivalent....
- 153
10
votes
1
answer
483
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Mathematics and cinema
I wander if anyone of you have some knowledge about relations between abstract algebra and cinema. I'm not searching for movies about mathematics or algebra; I'm searching for some kind of application ...
- 209
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votes
3
answers
9k
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What is the purpose of K-Theory?
I have recognized that there is a theory called K-Theory in mathematics is used also for applications in mathematical physics. There is existing algebraic K-Theory and topological K-Theory. Are ...
- 2,910
2
votes
2
answers
361
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When do we use Tensor?
I'm carious to see applications of tensor product. Is there any set of things that if they happen or we encounter them then we use tensor product, tensor algebra, ...? I will be happy if it be ...
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2
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2
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What kind of mathematics do I need to solve for a sequence of operations to get from one state to another?
I'm trying to solve a certain type of engineering problem, but I don't know what kind of math would apply to solving this problem. I'm not asking to solve the problem for me, but I am having trouble ...
1
vote
0
answers
108
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Application of abstract algebra for computer science/software engineering [duplicate]
What are some cool applications of abstract algebra for computer science/software engineering?
A friend of mine has been invited to my university (most of the students are soon to be software ...
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7
votes
0
answers
132
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Is there a polynomial $p$ such that it is bijective and $ p: \mathbb{Q}^n \rightarrow \mathbb{Q}$ for $ n>1$ ??
Let us define a polynomial $p$ defined as follow $$p: \mathbb{Q}^n \rightarrow \mathbb{Q}.$$
I acrossed this question in mind. Is there a polynomial $p$ such that it is bijective and $p: \mathbb{Q}...
- 3,594
0
votes
1
answer
710
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what are some applications of group theory [duplicate]
what are some applications of group theory? Group theory seems to be rather abstract.
user202652
15
votes
2
answers
2k
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Abstract algebra book with real life applications
Is there an abstract algebra book that emphasizes the applications to "real world" problems?
Update: By real world, I mean mostly related to physics or other sciences. But references to coding theory ...
- 8,294
2
votes
0
answers
127
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Polynomials and NSA
I'm looking for some applications of criteria of irreducibility of integer polynomials inside and outside mathematics.
I was reading the CV of Filaseta, a great researcher in this area and he has ...
- 23.7k
10
votes
3
answers
3k
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Applications of Banach Algebras and Operator Algebras
I am trying to learn operator algebra theory (I am tempted to start with Douglas' "Banach Algebra Techniques in Operator Theory").
One aspect that I am curious about is whether there are significant ...
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228
votes
11
answers
37k
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How do I sell out with abstract algebra?
My plan as an undergraduate was unequivocally to be a pure mathematician, working as an algebraist as a bigshot professor at a bigshot university. I'm graduating this month, and I didn't get into ...
4
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4
answers
3k
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Applications of group theory to geometry
What are the applications of group theory to geometry? Where can I know more about these applications?
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116
votes
8
answers
36k
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Are there real world applications of finite group theory?
I would like to know whether there are examples where finite group theory can be directly applied to solve real world problems outside of mathematics. (Sufficiently applied mathematics such as ...
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12
votes
3
answers
7k
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What are applications of rings & groups?
I am following a course in basic algebra, and we have covered rings & groups in class, but I am having trouble visualising them. Are there applications of group &/or ring theory that can be ...
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