منابع مشابه
NOTES ON REGULAR MULTIPLIER HOPF ALGEBRAS
In this paper, we associate canonically a precyclic mod- ule to a regular multiplier Hopf algebra endowed with a group-like projection and a modular pair in involution satisfying certain con- dition
متن کاملOn the cyclic Homology of multiplier Hopf algebras
In this paper, we will study the theory of cyclic homology for regular multiplier Hopf algebras. We associate a cyclic module to a triple $(mathcal{R},mathcal{H},mathcal{X})$ consisting of a regular multiplier Hopf algebra $mathcal{H}$, a left $mathcal{H}$-comodule algebra $mathcal{R}$, and a unital left $mathcal{H}$-module $mathcal{X}$ which is also a unital algebra. First, we construct a para...
متن کاملActions of Hopf algebras ∗
An action of a finite dimensional Hopf algebra H on a noncommutative associative algebra A is considered. Properties of A , the subalgebra of invariants in A, are studied. It is proved that if A is integral over Z(A), the centre of an algebra A, then A is integral over Z(A) H , the subalgebra of invariants in Z(A), for each of three cases: 1. the coradical H0 is cocommutative and char k = p > 0...
متن کاملnotes on regular multiplier hopf algebras
in this paper, we associate canonically a precyclic mod- ule to a regular multiplier hopf algebra endowed with a group-like projection and a modular pair in involution satisfying certain con- dition
متن کاملActions of Hopf algebras on noncommutative algebras
Often A is called H-module algebra. We refer reader to [11, 6] for the basic information concerning Hopf algebras and their actions on associative algebras. Definition 1.2 The invariants of H in A is the set AH of those a ∈ A, that ha = ε(h)a for each h ∈ H. Straightforward computations show, that AH is subalgebra of A. The notion of action of Hopf algebra on associative algebra generalize the ...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 1999
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927879908826688