Hopf algebras amalgamate the structures of both algebras and coalgebras, incorporating a multiplicative framework alongside comultiplication and an antipode that serve to intertwine these dual aspects ...

Noncommutative algebra encompasses a broad class of algebraic structures in which the commutative law does not hold, thereby allowing for a rich diversity of mathematical phenomena. Within this ...

Proceedings of the American Mathematical Society, Vol. 135, No. 3 (Mar., 2007), pp. 649-657 (9 pages) Let k be an algebraically closed field. The main goal of this paper is to classify the ...

Let k be an algebraically closed field. In 2007, D.-M. Lu, Q.-S. Wu, and J. J. Zhang asked the following question: Besides the group algebras kℤ, k𝔻 and infinite dimensional prime Taft algebras, are ...