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Results tagged with ra.rings-and-algebras
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user 123226
Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
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If two monic polynomials of $\mathbb{Z}_p[X]$ (p-adic integer coefficient) are relatively pr...
I'm currently reading a paper of Rene Schoof, and I got stuck in a line. And I'm trying to check the above sentence.
Although that seems to be elementary, I hope someone can give me a counterexample o …
- 1,013
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0
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89
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Is there any English reference for the paper 'Darstellungstheorie von Schur-Algebren' writte...
Now I'm reading the paper of Friedrich Roesler on the representation theory of Schur-Rings with the title 'Darstellungstheorie von Schur-Algebren' (Math Z 1972).
My goal is to understand algebraic the …
- 1,013
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1
answer
246
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Classifying indecomposable modules over $\mathbb{Z}/p^{2}\mathbb{Z}[\mathbb{Z}/p\mathbb{Z}]$
I'm now interested in classifying the indecomposable modules over $\mathbb{Z}/p^{2}\mathbb{Z}[\mathbb{Z}/p\mathbb{Z}]$ : the group ring of $\mathbb{Z}/p\mathbb{Z}$ over the ring $\mathbb{Z}/p^{2}\math …
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0
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47
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Reference for Gröbner-Shirshov algorithm in free restricted Lie algebras
I am searching for a reference on the Gröbner-Shirshov algorithm specifically for free restricted Lie algebras. I have already consulted the textbook by Bokut et al (Gröbner–Shirshov Bases Normal Form …
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2
votes
1
answer
725
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Motivation to study the order theory (ring theory)
I'm currently reading a paper of Georges Gras on the Reflection Principle.
The paper uses some theorems about orders (ring theory) from the book "Maximal Orders" by Reiner. I find the book interesting …
- 1,013
2
votes
0
answers
371
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Is there a roadmap to learning representation theory of finite group over finite field?
I've been wanted to learn some basic theories of the (non-semisimple) representation of the finite group over a finite field.
I have been guessing that the materials might be contained in the books on …
- 1,013
2
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0
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82
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Free, easy-to-use program for noncommutative algebra over finite fields
I am looking for a computer program that can handle computations in noncommutative algebra over a finite field of prime order $p$.
My requirements are:
The program should be free, as I do not have ac …
- 1,013
1
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1
answer
142
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Valuation theory on semisimple algebras used in the paper of Cohen-Martinet: reference request
I'm currently reading the paper of Henri Cohen & Jacques Martinet "Etude heuristique des groupes de classes des corps de nombres"
On the 2nd section, they recall some facts on valuations, completions …
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4
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1
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315
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What is the $p$-regular partition corresponding to the sign representation of $S_{n}$ over a...
I'm now interested in the modular representation of symmetric groups.
It is well-known that for a fixed prime $p$, there is a bijection between the irreducible representations of $S_{n}$ over a field …
- 1,013
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Valuation theory on semisimple algebras used in the paper of Cohen-Martinet: reference request
I'm sorry for not giving enough thought.
Any prime ideal of $A=A_{1}\times A_{2} \times \cdots \times A_{n}$ contains all but one $1 \times \cdots A_{i} \cdots \times 1$ ($e_{i}e_{j}=0$).
Any maxima …
- 1,013
3
votes
2
answers
420
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Is there any simple formula for the character of $S_{n}$ represented by the set of $k$-tuple...
I'm interested in the representation theory of symmetric groups.
I'm now trying to search for the formula for the characters of $\Omega^{k}$, the set of $k$-tuple of elements of $\Omega$ a set of $n$ …
- 1,013
6
votes
0
answers
99
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Computer program for free restricted Lie polynomial
I am conducting numerical experiments involving the Gröbner–Shirshov Basis for restricted Lie algebras. At each step of the computation, I need to work with restricted Lie polynomials. Specifically, I …
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