Folded Structures Satisfying Multiple Conditions

Group rings satisfying generalized Engel conditions

Let R be a commutative ring with unity of characteristic r≥0 and G be a locally finite group. For each x and y in the group ring RG define [x,y]=xy-yx and inductively via [x ,_( n+1)  y]=[[x ,_( n)  y]  , y]. In this paper we show that necessary and sufficient conditions for RG to satisfies [x^m(x,y)   ,_( n(x,y))  y]=0 is: 1) if r is a power of a prime p, then G is a locally nilpotent group an...

ORIGAMI – Folded Plate Structures, Architecture

This research proposes new methods to generate rapidly complex folded plate structures that can be built with cross laminated timber panels. Composition and dimensions of these panels as well as the possibility to mill them by Computer Numerically Controlled machines, show a great potential for surface structures. The aim of this research is to reveal this potential in the domain of folded plat...

Curved Folded Plate Timber Structures

Current research at the laboratory for timber construction IBOIS at EPFL focuses on shell structures. Two main families are investigated: shells made of linear elements, as timber rib shells, and shells made of surface elements, typically folded plate structures. With regard to timber rib shells, bent linear timber elements are used to create the shape of a shell. With folded plate structures, ...

The graphs satisfying conditions of Ore's type

Hierarchies of Distributive Lattices Satisfying Annihilator Conditions

The purpose of this paper is the generalization and unification of results due to Cornish [4], Lee [11] and Mandelker [12] concerning distributive lattices satisfying various annihilator conditions. The notation 3) [2)Q, 2}Qt J is used to denote the set of distributive lattices [with zero, with zero and unit]. We denote the set of pseudocomplemented lattices in ^o, I by 38 a, the set of members...