A chain of Kurosh may have an arbitrary finite length
A class of rings which are algebraic over the integers.
A concrete analysis of the radical concept.
A general concept of the pseudoprojective module
A generalization of Mathieu subspaces to modules of associative algebras
We first propose a generalization of the notion of Mathieu subspaces of associative algebras , which was introduced recently in [Zhao W., Generalizations of the image conjecture and the Mathieu conjecture, J. Pure Appl. Algebra, 2010, 214(7), 1200–1216] and [Zhao W., Mathieu subspaces of associative algebras], to -modules . The newly introduced notion in a certain sense also generalizes the notion of submodules. Related with this new notion, we also introduce the sets σ(N) and τ(N) of stable...
A generalization of the prime radical of an ideal.
A generalized Picard group for prime rings
A new approach to orders in simple rings with minimal one-sided ideals.
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 on a pair of derivations of semiprime rings.
A note on centralizers.
A note on derivations in semiprime rings.
A Note on Posner s Theorem with Generalized Derivations on Lie Ideals
A Note on Radicals and Polynomial Rings.
A note on rings which are multiplicatively generated by idempotents and nilpotents.
A note on rings with certain variable identities.
A Note on Semi-prime Rings.
A note on semiprime rings with derivation.
A note on the endomorphism ring of a module artinian with respect to a preradical
A properly infinite Banach *-algebra with a non-zero, bounded trace
A properly infinite C*-algebra has no non-zero traces. We construct properly infinite Banach *-algebras with non-zero, bounded traces, and show that there are even such algebras which are fairly "close" to the class of C*-algebras, in the sense that they can be hermitian or *-semisimple.