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Now that we have tensor products of abelian groups in #2021, a nice exercise (and something useful for calculations) would be to show that
$$\mathbb{Z}/a\mathbb{Z} \otimes_{\mathbb{Z}} \mathbb{Z}/b…
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`AugmentedDegreeGroup.augmentation` で 1 を送ったものが 1 になるべきか明文化しておく。
数学的に書くと、以下の通り。
- `DegreeGroup` is a group `G` together with a group homomorphism `η: ℤ→G`.
- `AugmentedDegreeGroup` is a `Degree…
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Reported by **till** and assigned to **luecke**
Migrated from http://trac.informatik.uni-bremen.de:8080/hets/ticket/357
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Create a bridge from CASL and HasCASL datatypes to Isabelle datatypes (e.…
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The 'homomorphism' attribute is not recognized as an attribute on equations.
The equation I was trying to specify in Maude-PSL was:
`eq pk(X ; Y, K) = pk(X, K) ; pk(Y, K) [ homomorphism ].`
…
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From section V of Zeestar : [Zeestar](https://files.sri.inf.ethz.ch/website/papers/sp22-zeestar.pdf)
it is possible to
1/ multiply any encrypted value by a public scalar,
or
2/ to multiply a pri…
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Read these two articles:
[https://arxiv.org/pdf/1608.07142.pdf](https://arxiv.org/pdf/1608.07142.pdf)
[https://arxiv.org/pdf/1712.03708.pdf](https://arxiv.org/pdf/1712.03708.pdf)
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We should be able to edit C-set homomorphisms, by making a C-set schema for them, and then using #17 to draw the actual homomorphism.
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I am adding some results on rings:
- [x] Ring ideal definition
- [x] Product and sum of ideals
- [x] Prime ideal definition
- [x] Maximal ideal definition
- [x] Spectrum and Zariski topology
-…
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The class `InverseHomAutomaton` can compute the inverse homomorphism of a tree automaton under an arbitrary tree homomorphism. Because almost all homomorphisms we use in applications of Alto are non-d…
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There is currently no precise definition of algebras (as in MagmaticAlgebra) in the documentation. A useful definition seems to be the following.
Let *R* be a ring (unital and associative as usual…