Results 31 to 40 of about 2,156,473 (283)
A remark on group rings of periodic groups [PDF]
International Journal of Group Theory, 2016 A positive solution of the problem of the existence of nontrivial pairs of zero-divisors in group rings of free Burnside groups of sufficiently large odd periods $n>10^{10}$ obtained previously by S. V. Ivanov and R. Mikhailov extended to all odd periods
Artur Grigoryan
doaj
Localized direct material removal and deposition by nanoscale field emission scanning probes
Micro and Nano Engineering, 2022 The manufactory of advanced micro- and nanoscale devices relies on capable patterning strategies. Focused electron beams, as for instance implemented since long in electron beam lithography and electron beam induced deposition, are in this regard key ...
Martin Hofmann +3 more
doaj +1 more source
Equivariant Primary Decomposition and Toric Sheaves [PDF]
, 2010 We study global primary decompositions in the category of sheaves on a scheme which are equivariant under the action of an algebraic group. We show that equivariant primary decompositions exist if the group is connected.
Perling, Markus, Trautmann, Guenther
core +1 more source
Actuators, 2018 This contribution presents a novel design approach for vibration assisted machining (VAM). A lot of research has already been done regarding the influence of superimposed vibrations during a milling process, but there is almost no information about how ...
Martin Silge, Thomas Sattel
doaj +1 more source
Rings associated to coverings of finite p-groups [PDF]
, 2016 In general the endomorphisms of a non-abelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of functions defined on a group which are endomorphisms when restricted to the ...
Walls, Gary, Wang, Linhong
core +1 more source
Journal of Algebra, 2006 The authors' prime objective is to prove that the integral group ring \(\mathbb{Z} G\) of the non-Abelian finite group \(G\) of order prime to 6 contains two Bass cyclic units that generate a non-Abelian free group. A Bass cyclic unit of \(\mathbb{Z} G\) is an element of the form \[ (1+x+\cdots+x^{k-1})^m+d^{-1}(1-k^m)(1+x+\cdots+x^{d-1}), \] where \(x\
Gonçalves, J. Z., Passman, D. S.
openaire +2 more sources
The Interplay of Biomimetics and Biomechatronics
Biomimetics, 2022 Biomechatronics is an engineering subject in which biomimetics as a method is one of its two supporting pillars: biology for engineering, or Bio4Eng. This is contrasted with biocompatible design, or Eng4Bio, examples of which are human-serving systems ...
Hartmut Witte
doaj +1 more source
Generalized twisted group rings [PDF]
Journal of Algebra, 2005 Let \(R\) be a Dedekind domain, and let \(G\) be an arbitrary group. The authors consider generalized group rings \(R*G\), twisted by a generalized 2-cocycle \(\alpha\colon G\times G\to R\setminus\{0\}\), i.e. with values not necessarily in \(R^\times\). Then \(H:=\{ x\in G\mid\alpha(x,x^{-1})\in R^\times\}\) is a subgroup of \(G\).
Nauwelaerts, E., Van Oystaeyen, Freddy
openaire +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie +4 more
wiley +1 more source
Secure Group Communications Using Twisted Group Rings
Mathematics, 2022 In this paper we introduce a Group Key Management protocol following the idea of the classical protocol that extends the well-known Diffie–Hellman key agreement to a group of users. The protocol is defined in a non-commutative setting, more precisely, in
María Dolores Gómez Olvera +2 more
doaj +1 more source