Superconformal algebras over arbitrary rings of coefficients

We define analogs of superconformal algebras over an arbitrary commutative associative superalgebra. In the case that the commutative associative superalgebras are finitely generated, the universal central extensions of these analogs are finitely presented. In particular, we show that all known superconformal algebras are finitely presented.

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Publication Details

Journal
Communications in Contemporary Mathematics
Published
2026-10-30
DOI
https://doi.org/10.1142/s0219199726500896
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00

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article

Superconformal algebras over arbitrary rings of coefficients

Efim Zelmanov, Zezhou Zhang, Consuelo Martínez
Communications in Contemporary Mathematics
Advanced Topics in Algebra
article

Superconformal algebras over arbitrary rings of coefficients

Efim Zelmanov, Zezhou Zhang, Consuelo Martínez
article en

Abstract

We define analogs of superconformal algebras over an arbitrary commutative associative superalgebra. In the case that the commutative associative superalgebras are finitely generated, the universal central extensions of these analogs are finitely presented. In particular, we show that all known superconformal algebras are finitely presented.

Communications in Contemporary Mathematics
Universidad de Oviedo (ES), Beijing Normal University (CN), Southern University of Science and Technology (CN)
Ministerio de Ciencia, Innovación y Universidades, National Natural Science Foundation of China
Openalex Percentile: Top 39%
Advanced Topics in Algebra
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