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Results tagged with ra.rings-and-algebras
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user 168671
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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Do you know of any indecomposable ring that has no isolated elements and is neither reversib...
Let $R$ be a non commutative ring. We will say that an element of $R$ is isolated if it is zero divisor and nothing nonzero annihilates it at the same time on both sides.
Note that there are many clas …
3
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1
answer
238
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Number of rings with additive group $(\mathbb{Z}_{16})^2$. A341547(16) in OEIS
I would like to know if somewhere the number of non-isomorphic rings with additive group $(\mathbb{Z}_{16})^2$ is mentioned. If not, is someone able to calculate it?
And (easier) the commutative case? …
4
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Do you know rings without involutions, auto-anti-isomorphics? In that case, what is the mini...
Do you know rings without involutions, but auto-anti-isomorphic (isomorphic to their opposite)? In that case, what is the minimal example?
If a ring has an involution f, then f is an anti-automorphism …
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Given a unitary commutative ring $R$, what are the rings $R\langle x,y\rangle/(x^2-A,y^2-B,y...
We are studying the rings
$$
R \langle x, \, y \rangle\,\big/\left(x^2-A, \, y^2-B, \, yx-a-bx-cy-dxy \right)
$$
Do you know if they have a name?
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2
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How many non-isomorphic associative algebras of dimension 2 over the field F_{p^k} are there?
How many non-isomorphic associative algebras of dimension 2 over the field F_{p^k} are there?
As much as I have searched, I have not found any results that answer my question; not even for k = 1,2.