Hopf powers and orders for some bismash products

Duality for Hopf Orders

In this paper we use duality to construct new classes of Hopf orders in the group algebraKCp3 , where K is a finite extension of Qp and Cp3 denotes the cyclic group of order p3. Included in this collection is a subcollection of Hopf orders which are realizable as Galois groups.

Some Quotients of Chain Products are Symmetric Chain Orders

Canfield and Mason have conjectured that for all subgroups G of the automorphism group of the Boolean lattice Bn (which can be regarded as the symmetric group Sn) the quotient order Bn/G is a symmetric chain order. We provide a straightforward proof of a generalization of a result of K. K. Jordan: namely, Bn/G is an SCO whenever G is generated by powers of disjoint cycles. In addition, the Bool...

Queue Layouts of Graph Products and Powers

A k-queue layout of a graph G consists of a linear order σ of V (G), and a partition of E(G) into k sets, each of which contains no two edges that are nested in σ. This paper studies queue layouts of graph products and powers.

On the Coderivations of Some Hopf Algebras

Products in Hopf-cyclic Cohomology

We construct several pairings in Hopf-cyclic cohomology of (co)module (co)algebras with arbitrary coefficients. As a special case of one of these pairings, we recover the Connes-Moscovici characteristic map in Hopf-cyclic cohomology. We also prove that this particular pairing, along with a few others, would stay the same if we replace the derived category of (co)cyclic modules with the homotopy...