We apply recent work of A. Lazarev which develops an obstruction theory for the existence
of R-algebra structures on R-modules, where R is a commutative S-algebra. We show that …

In [5] John Moore gave a description of the lopf algebra H*(BU, R) over any ring R using two
kinds of universal constructions for llopf algebras. Over any ring B which is a Q-algebra it is …

In [, Theorem 2.2] Doi gave a Hopf-algebraic proof of a generalization of Oberst's theorem on
affine quotients of affine schemes. He considered a commutative Hopf algebra H over a …

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Entwined structures (A, C, ψ) were introduced by Brzeziński and Majid to study the
interdependence of an R-algebra A and an R-coalgebra C, R a commutative ring. It turned …

We define analogues of Verma modules for finite W-algebras. By the usual ideas of highest
weight theory, this is a first step toward the classification of finite-dimensional irreducible …

In this paper we develope a Brauer group theory for algebras which are simultaneously H-
modules and H-comodules, where H is a Hopf algebra. This work generalizes, and also …

M-= 0. We recall that an Abelian restricted Lie algebra is a K-module L together with a
restriction (pth power operation) t: L-Lpn for pn even, such that tj (kx)= kPt (x) and t (x+ y)= t …

The present article takes advantage of the properties of algebras in the category of S-
modules (twisted algebras) to investigate further the fine algebraic structure of Hopf operads …

In this paper we study weak Hopf algebras with projection. If f: H→ B, g: B→ H are
morphisms of weak Hopf algebras such that g∘ f= idH, we prove that it is possible to find an …