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math.RA2026
Superconformal algebras over arbitrary rings of coefficients
Consuelo Martínez, Efim Zelmanov, Zezhou Zhang
We define analogs of superconformal algebras over an arbitrary commutative associative superalgebra. In the finitely generated case the universal central extensions of these algebr…
math.RA2026
Simple unital Jordan superalgebras
Ivan Shestakov, Efim Zelmanov
We prove that a simple unital Jordan superalgebra of arbitrary dimension belongs to the list of known simple unital superalgebras or lies in a certain proper subvariety.