Results 21 to 30 of about 5,618 (233)
Completely decomposable direct summands of torsion-free abelian groups of finite rank [PDF]
, 2017 Let $A$ be a finite rank torsion--free abelian group. Then there exist direct decompositions $A=B\oplus C$ where $B$ is completely decomposable and $C$ has no rank 1 direct summand.
A. Mader, P. Schultz
semanticscholar +1 more source
On the linearity of torsion-free nilpotent groups of finite Morley rank [PDF]
Proceedings of the American Mathematical Society, 2008 It is proved that every torsion-free nilpotent group of finite Morley rank is isomorphic to a matrix group over a field of characteristic zero.
Altinel, T, Wilson, J
openaire +3 more sources
Structure of Finite-Dimensional Protori
Axioms, 2019 A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
doaj +1 more source
Discussiones Mathematicae - General Algebra and Applications, 2017 It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
doaj +1 more source
A Cancellation Criterion for Finite-Rank Torsion-Free Abelian Groups [PDF]
Proceedings of the American Mathematical Society, 1985 In this paper, a necessary ring-theoretical criterion is given for a finite-rank torsion-free abelian group to have the cancellation property. This generalizes results obtained by L. Fuchs and F. Loonstra [ 5 ] for the rank-one case and resolves the cancellation problem for strongly ...
openaire +2 more sources
Groups with minimax commutator subgroup [PDF]
International Journal of Group Theory, 2014 A result of Dixon, Evans and Smith shows that if $G$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian, then $G$ itself has this property, i.e. the commutator subgroup of~$G$ has finite rank.
Francesco de Giovanni, Trombetti
doaj
Advanced Engineering Materials, EarlyView.Coarse‐grained (left) and atomistic (right) models of the shape memory polymer ESTANE ETE 75DT3 are shown schematically. The two representations bridge molecular detail and mesoscopic description. Both models capture shape memory behavior, linking segmental mobility and conformational relaxation of anisotropic chains to macroscopic recovery, and ...
Fathollah Varnik
wiley +1 more source
Advanced Functional Materials, EarlyView.A compostable PGS soft surgical robot with interchangeable modules integrates transient Mo tactile and Si thermal sensors for dual feedback. The device preserves its function after clinical‐grade sterilization, demonstrates stable actuation and cardiac tissue grasping with real‐time in vivo pulsatile monitoring, and biodegrades post‐use with soil‐safe,
Minseong Chae +27 more
wiley +1 more source
3D Printing Innovations in Polymeric Porous and Patterned Architecture
Advanced Functional Materials, EarlyView.Polymeric foams occupy a unique structural space between dense solids and open networks, where engineered void fraction governs mechanical compliance, thermal resistance, and mass transport. Additive manufacturing now enables precise spatial control over cellular architecture, unlocking designer foam structures across applications spanning crash ...
Dhanush Patil +13 more
wiley +1 more source
Advanced Functional Materials, EarlyView.A robust plant protein adhesive was prepared by fabricating a bi‐continuous organic–inorganic hybrid structure. Compared with traditional organic–inorganic hybrid adhesives, the addition amount of inorganic phase is increased from 0.2%–3.0% to 50%, and the strength and toughness are increased by 6 and 121 times, respectively.
Zheng Liu +10 more
wiley +1 more source