Two Notes on Nilpotency and Standard Algebras

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

Lie Nilpotency Indices of Modular Group Algebras

Let K be a field of positive characteristic p and KG the group algebra of a group G. It is known that if KG is Lie nilpotent then its upper (or lower) Lie nilpotency index is at most |G| + 1, where |G| is the order of the commutator subgroup. The class of groups G for which these indices are maximal or almost maximal have already been determined. Here we determine G for which upper (or lower) L...

Multiplicative bijective maps on standard operator algebras

Some notes on L-projections on Fourier-Stieltjes algebras

In this paper, we investigate the relation between L-projections and conditional expectations on subalgebras of the Fourier Stieltjes algebra B(G), and we will show that compactness of G plays an important role in this relation.

Notes on Modules and Algebras

For objects A and B belonging to a category C we denote by C(A,B) the set of all morphisms from A to B in C and, for any f ∈ C(A,B), the objects A and B are called, respectively, the domain and codomain of f . For example, if A and B are abelian groups, and we denote by U(A) and U(B) the underlying sets of A and B, then Ab(A,B) is the set of all group homomorphisms having domain A and codomain ...