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Results tagged with ra.rings-and-algebras
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user 22709
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.
2
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Accepted
Dimension formula for Cartan-type abelian.group Nichols algebra?
Yes, careful application of the theory of rootsystems verifies indeed these formulae.....farily streight-forward!
- 1,846
6
votes
1
answer
219
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Liftings of Nichols algebras over racks via Doi twist
As a more nontrivial example for my Dissertation thesis, I'd require some example of the following type (of course I'll "cite" ;-) ), so thanx in advance:
Andruskiewitsch/Grana have by a new construc …
- 1,846
6
votes
1
answer
230
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Dimension formula for Cartan-type abelian.group Nichols algebra?
Existence of a root system has been established for Nichols algebras $B(V)$ of a Yetter-Drinfel'd-module $V$ (resp. braided vectorspaces $V$) over abelian groups (resp. with diagonal braiding $x_i\oti …
- 1,846
4
votes
1
answer
193
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Bigalois Groupoid Of Drinfel'd Group Double
2-cocycles of a given Hopf algebras $H$ no longer form a group, but a groupoid between different Doi twists of the Hopf algebra $H,L$. The subgroup of "lazy" 2-cocycles precisely preserve the underlyi …
- 1,846
2
votes
1
answer
208
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Simplicial complex made of central idempotents of an algebra
Let $A$ be an algebra, say over $\mathbb{C}$ and finite-dimensional, but not necessary semisimple. I have the strong feeling, which I would like to prove and use, about the following rather natural ap …
- 1,846
5
votes
0
answers
234
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Which properties of the pullback/restriction functor imply surjectivity of a ring homomorphism
Let $f:R\to S$ be a homomorhpism of (noncommutative) algebras over some field k (say the complex numbers) and let $F:Rep(S)\to Rep(R)$ be the corresponding functor between the categories of finite-dim …
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1
vote
1
answer
160
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Example of tensor category with non-simple unit $J\to \mathbb{1} \to Q$ and suitably extensi...
Edit: Thanx very much to Neil Strickland for quickly explaining to us that the following cannot be realized over finite commutative $\mathbb{C}$-algebras, as I had originally asked.
I know that there …
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