We introduce the Singleton bounds for codes over a finite commutative quasi-Frobenius ring.

Nakayama (Ann. of Math. 42, 1941) showed that over an artinian serial ring every module is a direct sum of uniserial modules. Hence artinian serial rings have the property that each right (left) ideal is a finite direct sum of quasi-injective right (left) ideals. A ring with the property that each right (left) ideal is a finite direct sum of quasi-injective right (left) ideals will be called a ...

We study the stability of a viscous incompressible fluid ring on a partially wetting substrate within the framework of long-wave theory. We discuss the conditions under which a static equilibrium of the ring is possible in the presence of contact angle hysteresis. A linear stability analysis (LSA) of this equilibrium solution is carried out by using a slip model to account for the contact line ...

In this paper, we give a detailed proof to result of Gabber (unpublished) on the lifting problem quasi-excellent rings, extending previous work Nishimura-Nishimura. As corollary, establish that an ideal-adic completion excellent (resp. quasi-excellent) ring is quasi-excellent).

The construction of the fusion ring of a quasi-rational CFT based on sl(3) k at generic level k ∈ Q is reviewed. It is a commutative ring generated by formal characters, elements in the group ring Z[ ˜ W ] of the extended affine Weyl group˜W of sl(3) k. Some partial results towards the sl(4) k generalisation of this character ring are presented.

We investigate functors between abelian categories having a left adjoint and a right adjoint that are similar (these functors are called quasi-Frobenius functors). We introduce the notion of a quasi-Frobenius bimodule and give a characterization of these bimodules in terms of quasi-Frobenius functors. Some applications to corings and graded rings are presented. In particular, the concept of qua...

[1] Recent measurements show that magnetospheric convection electric fields during the main phases of magnetic storms are much more complicated in spatial structure than the electric fields that have generally been used to model formation of the stormtime ring current. To investigate the transport effects of such more realistic stormtime electric fields on magnetospheric charged particles, we m...

Research on gender differences in creativity, including creativity test scores, creative achievements, and self-reported creativity is reviewed, as are theories that have been offered to explain such differences and available evidence that supports or refutes such theories. This is a difficult arena in which to conduct research, but there is a consistent lack of gender differences both in creat...