# C*-algebraic Casas-Alvero Conjecture

@inproceedings{Krishna2022CalgebraicCC, title={C*-algebraic Casas-Alvero Conjecture}, author={K. Mahesh Krishna}, year={2022} }

: Based on Casas-Alvero conjecture [J. Algebra, 2001] we formulate the following conjecture. C*-algebraic Casas-Alvero Conjecture : Let A be a commutative C*-algebra, n ∈ N and let P ( z ) := ( z − a 1 )( z − a 2 ) · · · ( z − a n ) be a polynomial over A with a 1 , a 2 , . . . , a n ∈ A . If P shares a common zero with each of its (ﬁrst) n − 1 derivatives, then it is n th power of a linear monic C*-algebraic polynomial. We show that C*-algebraic Casas-Alvero Conjecture holds for C*-algebraic…

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