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math.GM2026
Crossed Homomorphisms on associative superalgebras
RB Yadav, Arpan Sharma
In this paper, we introduce the notion of crossed homomorphisms on associative superalgebras. We show that crossed homomorphisms are precisely the Maurer--Cartan elements of a natu…
math.GM2025
Characterization and Cohomology of Crossed Homomorphisms on Lie Superalgebras
RB Yadav, Arpan Sharma
In this article, we give a characterisation of crossed homomorphisms on Lie superalgebras as a Maurer-Cartan element of a graded Lie algebra. Using this characterisation we study c…