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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
votes
Discriminants of Clifford algebras
It was proved in Theorem 3.7 of "Discriminant Formulas and Applications" by Chan, Young and Zhang.
1
vote
Ideal structure of a tensor product of certain algebras
I think it is true for your example.
By a similar proof as mentioned by Konstantinos Kanakoglou, we have the following fact.
Let $I$ be an ideal of $A \otimes B$. If $I \nsubseteq J_A \otimes J_B$ …