We use the characteristic polynomial of the Coxeter matrix of an algebra to complete the combinatorial classification of piecewise hereditary algebras which Happel gave in terms of the trace of the Coxeter matrix. We also ...

Combinatorial Hopf Algebras on Baxter Binary Trees

This thesis is developed in the area of combinatorial algebraic structures on planar binary trees, particularly, combinatorial Hopf algebras.In 1995, Claudia Malvenuto and Christophe Reutenauer introduced a graded Hopf ...

This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida ...