Uncancellative factorizations of Baer-local formations

on direct sums of baer modules

the notion of baer modules was defined recently

Extensions of Baer and quasi-Baer modules

BAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS

A ring $R$ with an automorphism $sigma$ and a $sigma$-derivation $delta$ is called $delta$-quasi-Baer (resp., $sigma$-invariant quasi-Baer) if the right annihilator of every $delta$-ideal (resp., $sigma$-invariant ideal) of $R$ is generated by an idempotent, as a right ideal. In this paper, we study Baer and quasi-Baer properties of skew PBW extensions. More exactly, let $A=sigma(R)leftlangle x...

Tensor factorizations of local second-order Møller-Plesset theory.

Efficient electronic structure methods can be built around efficient tensor representations of the wavefunction. Here we first describe a general view of tensor factorization for the compact representation of electronic wavefunctions. Next, we use this language to construct a low-complexity representation of the doubles amplitudes in local second-order Møller-Plesset perturbation theory. We int...

An Implementation of Robot Formations using Local Interactions

Coordinating a group of robots to work in formation has been suggested for a number of tasks, such as urban searchand-rescue, traffic control, and harvesting solar energy. Algorithms for controlling robot formations have been inspired by biological and organizational systems. In our approach to robot formation control, each robot is treated like a cell in a cellular automaton, where local inter...