University of Guilan Journal of Algebra and Related Topics 2345-3931 2025 12 13 Super-biderivations and linear super-commuting maps on infinite-dimensional Lie superalgebras 9285 10.22124/jart.2025.29499.1755 EN M. Abdaoui University of Kairouan‎, ‎LR18ES45‎, ‎Mathematical Physics,‎‎ Quantum Modeling and Mechanical Design,Preparatory Institute for Engineering Studies of Kairouan‎, ‎Kairouan‎, ‎3100‎, ‎Tunisia Journal Article 2025 01 06 Let $\mathcal{G}_{\epsilon}$ (resp. $\mathcal{W}_{\epsilon}$) with $\epsilon=0$ or $\frac{1}{2}$ be the complete spectrum-generating superalgebra (resp. the centerless super Virasoro algebra). In this paper, the super-skewsymmetric super-biderivations on $\mathcal{G}_{\epsilon}$ and $\mathcal{W}_{\epsilon}$ are completely determined. In particular, we show that every super-skewsymmetric super-biderivation $\varphi$ (resp. $\phi$) of $\mathcal{G}_{\epsilon}$ (resp. $\mathcal{W}_{\epsilon}$) is inner. Based on the results of super-biderivations, we shall give the certain forms of all linear super-commuting maps on $\mathcal{G}_{\epsilon}$ and $\mathcal{W}_{\epsilon}$ https://jart.guilan.ac.ir/article_9285_6a51026e43925d1f489a808e3f158cb3.pdf