Dual canonical bases of the quantum general linear supergroup are constructed which are invariant under the multiplication of the quantum Berezinian. By setting the quantum Berezinian to identity, we obtain dual canonical bases of the quantum special linear supergroup Oq(SLm|n). We apply the canonical bases to study invariant subalgebras of the quantum supergroups under left and right translati...

This paper presents TKDM, a PC-based high-performance reconfigurable computing environment. The TKDM hardware consists of an FPGA module that uses the DIMM (dual inline memory module) bus for high-bandwidth and low-latency communication with the host CPU. The system’s firmware is integrated with the Linux host operating system and offers functions for data communication and FPGA reconfiguration...

We establish braided tensor equivalences among module categories over the twisted quantum double of a finite group defined by an extension of a group G by an abelian group, with 3-cocycle inflated from a 3-cocycle on G. We also prove that the canonical ribbon structure of the module category of any twisted quantum double of a finite group is preserved by braided tensor equivalences. We give two...

A ring R is called right strong stably finite (r.ssf) if for all n ≥ 1, injective endomorphisms of R (n) R are essential. If R is an r.ssf ring and e is an idempotent of R such that eR is a retractable R-module, then eRe is an r.ssf ring. A direct product of rings is an r.ssf ring if and only if each factor is so. The R.ssf condition is investigated for formal triangular matrix rings. In partic...

12 Cheng, K. and Newcombe, N.S. (2005) Is there a geometric module for spatial orientation? Squaring theory and evidence. Psychon. Bull. Rev. 12, 1–23 13 Hermer-Vazquez,L. etal. (1999)Sources offlexibility inhumancognition: Dual task studies of space and language. Cognit. Psychol. 39, 3–36 14 Newcombe, N.S. (2005) Evidence for and against a geometric module: The roles of language and action. In...

As a natural generalization of a measure space, Butnariu and Klement introduced T-tribes of fuzzy sets with T-measures. They gave a complete characterization of T-measures for a Frank triangular norm T. Here we characterize T-measures with respect to non-Frank strict triangular norms. We show the speciic roles of Frank triangular norms and a newly introduced family, nearly Frank triangular norm...

⎯ This paper describes the Software Defined Radio (SDR) platform that is being developed and implemented in the scope of the EU 7PP Framework WHERE Project. The platform is based on one full-length PCI carrier board populated with one DSP module, one dual high-speed ADC/DAC module and one module corresponding to IF/RF front-end. It is equipped with two omnidirectional antennas working at 2.4GHz...

For module algebras and module coalgebras over an arbitrary bialgebra, we define two types of bivariant cyclic cohomology groups called bivariant Hopf cyclic cohomology and bivariant equivariant cyclic cohomology. These groups are defined through an extension of Connes’ cyclic category Λ. We show that, in the case of module coalgebras, bivariant Hopf cyclic cohomology specializes to Hopf cyclic...

Given a length function L on the R-modules of a unital ring R, for any sofic group Γ, we define a mean length for every locally L-finite RΓ-module relative to a bigger RΓ-module. We establish an addition formula for the mean length. We give two applications. The first one shows that for any unital left Noetherian ring R, RΓ is stably direct finite. The second one shows that for any ZΓ-module M,...