A non-commutative minimally non-Noetherian ring.
A non-semiprime associative algebra with zero weak radical.
The weak radical, W-Rad(A) of a non-associative algebra A, has been introduced by A. Rodríguez Palacios in [3] in order to generalize the Johnson's uniqueness of norm theorem to general complete normed non-associative algebras (see also [2] for another application of this notion). In [4], he showed that if A is a semiprime non-associative algebra with DCC on ideals, then W-Rad(A) = 0. In the first part of this paper we give an example of a non-semiprime associative algebra A with DCC on ideals and...
A Note About the Nowicki Conjecture on Weitzenböck Derivations
2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.We reduce the Nowicki conjecture on Weitzenböck derivations of polynomial algebras to a well known problem of classical invariant theory.
A note on a pair of derivations of semiprime rings.
A note on block triangular presentations of rings and finitistic dimension
A note on centralizers.
A note on centralizers in -deformed Heisenberg algebras.
A note on clean abelian groups
A note on -cofinitely supplemented modules.
A note on coflat abelian groups
A note on commutativity of automorphisms.
A note on commutativity of nonassociative rings.
A note on -modules.
A note on derivations in semiprime rings.
A note on extending Hopf actions to rings of quotients of module algebras.
A Note on Extensions of Bear and P.p.-rings
A note on finitely generated ideal-simple commutative semirings
Many infinite finitely generated ideal-simple commutative semirings are additively idempotent. It is not clear whether this is true in general. However, to solve the problem, one can restrict oneself only to parasemifields.
A note on flat modules
A note on free direct summands.
A Note on Free Quantum Groups
We study the free complexification operation for compact quantum groups, . We prove that, with suitable definitions, this induces a one-to-one correspondence between free orthogonal quantum groups of infinite level, and free unitary quantum groups satisfying .