Group extensions are quasi-simply-filtrated

Extensions of Baer and quasi-Baer modules

Fiber respecting quasi-isometries of surface group extensions

Let S be a closed, oriented surface of genus g ≥ 2, and consider the extension 1 → π1S → MCG(S, p) → MCG(S) → 1, where MCG(S) is the mapping class group of S, and MCG(S, p) is the mapping class group of S punctured at p. We prove that any quasi-isometry of MCG(S, p) which coarsely respects the cosets of the normal subgroup π1S is a bounded distance from the left action of some element of MCG(S,...

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...

Are vacuum-filtrated reduced graphene oxide membranes symmetric?

Graphene or reduced graphene oxide (rGO) membrane-based materials are promising for many advanced applications due to their exceptional properties. One of the most widely used synthesis methods for rGO membranes is vacuum filtration of graphene oxide (GO) on a filter membrane, followed by reduction, which shows great advantages such as operational convenience and good controllability. Despite v...