4 problems

0 votes0 replies0 views
Conjecture on cancellation for prime algebras of low center or dimension three
Cancellation conjecture.
Conjectureopencancellation-problems noncommutative-algebra prime-algebrasarXiv posted 2 days ago
0 votes0 replies0 views
Cancellation equivalence for Poisson algebras and their quantizations
Let $Z$ be a Poisson algebra, and let $A$ be a quantization of $Z$ . Quantization cancellation conjecture. $Z$ is Poisson cancellative if and only if $A$ is cancellative. This propo…
Conjectureopencancellation-problems poisson-algebras quantizationarXiv posted 2 days ago
0 votes0 replies1 view
Cancellation equivalence for symmetric Poisson algebras and enveloping algebras
Let $\mathfrak g$ be a finite-dimensional Lie algebra. Its symmetric Poisson algebra is denoted by $PS(\mathfrak g)$ , and its universal enveloping algebra by $U(\mathfrak g)$ . Canc…
Conjectureopenassociative-algebras cancellation-problems poisson-algebrasarXiv posted 2 days ago
0 votes0 replies0 views
Centre-determines-cancellation conjecture for affine noetherian domains
Let $k$ be an uncountable algebraically closed field of characteristic zero, and let $A$ be an affine noetherian domain over $k$ . Write $Z(A)$ for the centre of $A$ . An algebra is…
Conjectureopencancellation-problems centers-of-algebras noncommutative-algebraarXiv posted 2 days ago

Conjecture on cancellation for prime algebras of low center or dimension three