Addendum to "Generalized radical rings, unknotted biquandles, and quantum groups" (Colloq. Math. 109 (2007), 85-100)
Addendum to “Hochschild cohomology of skew group rings and invariants”
Additive deformations of braided Hopf algebras
Additive deformations of bialgebras in the sense of J. Wirth [PhD thesis, Université Paris VI, 2002], i.e. deformations of the multiplication map fulfilling a certain compatibility condition with respect to the coalgebra structure, can be generalized to braided bialgebras. The theorems for additive deformations of Hopf algebras can also be carried over to that case. We consider *-structures and prove a general Schoenberg correspondence in this context. Finally we give some examples.
Additivity of maps on triangular algebras.
Adjoint vector fields on the tangent space of semisimple symmetric spaces.
AE-rings
Affine endomorphism near-rings
Algebraic de Morgan's laws for non-commutative rings
Algebraic setup of non-strict multiple zeta values
Algebras and Quaternion Defect Groups. I.
Algebras and Quaternion Defect Groups. II.
Algebras and spaces of dense constancies
A DC-space (or space of dense constancies) is a Tychonoff space such that for each there is a family of open sets , the union of which is dense in , such that , restricted to each , is constant. A number of characterizations of DC-spaces are given, which lead to an algebraic generalization of the concept, which, in turn, permits analysis of DC-spaces in the language of archimedean -algebras. One is led naturally to the notion of an almost DC-space (in which the densely constant functions...
Algebras of quotients with bounded evaluation of a normed semiprime algebra
We deal with the algebras consisting of the quotients that produce bounded evaluation on suitable ideals of the multiplication algebra of a normed semiprime algebra A. These algebras of quotients, which contain A, are subalgebras of the bounded algebras of quotients of A, and they have an algebra seminorm for which the relevant inclusions are continuous. We compute these algebras of quotients for some norm ideals on a Hilbert space H: 1) the algebras of quotients with bounded evaluation of the ideal...
Algèbres de Bass et extensions de Ore itérées.
We show that some iterated Ore extensions have the same behaviour with respect to injective resolutions as Gorenstein commutative rings.
Almost smooth algebras
Almost Split Sequences over p-adic Rings.
An algorithm for the decomposition of ideals of the group ring of a symmetric group.
An analogue of holonomic -modules on smooth varieties in positive characteristics.
An analogue of the Duistermaat-van der Kallen theorem for group algebras
Let G be a group, R an integral domain, and V G the R-subspace of the group algebra R[G] consisting of all the elements of R[G] whose coefficient of the identity element 1G of G is equal to zero. Motivated by the Mathieu conjecture [Mathieu O., Some conjectures about invariant theory and their applications, In: Algèbre non Commutative, Groupes Quantiques et Invariants, Reims, June 26–30, 1995, Sémin. Congr., 2, Société Mathématique de France, Paris, 1997, 263–279], the Duistermaat-van der Kallen...
An elementary note on group-rings.