Let S be a set of n ideals of a commutative ring A and let Geven (respectively Godd) denote the product of all the sums of even (respectively odd) number of ideals of S. If n ≤ 6 the product of Geven and the intersection of all ideals of S is included in Godd. In the case A is an Noetherian integral domain, this inclusion is replaced by equality if and only if A is a Dedekind domain.

The concept of a 0-distributive poset is introduced. It is shown that a section semicomplemented poset is distributive if and only if it is 0-distributive. It is also proved that every pseudocomplemented poset is 0-distributive. Further, 0-distributive posets are characterized in terms of their ideal lattices.

It has been established by Inoue that a complex locally C*-algebra with a dense ideal posesses a bounded approximate identity which belonges to that ideal. It has been shown by Fritzsche that if a unital complex locally C*-algebra has an unbounded element then it also has a dense one-sided ideal. In the present paper we obtain analogues of the aforementioned results of Inoue and Fritzsche for r...

This work presents a numerical approach in order to predict the influence of implant material stiffness in a femoral component design when submitted in compression. The implant success depends on the transferred load to the neighboring bone. The finite element method can be used to analysis the stress and strain distribution in the femoral component allowing to improve the implant selection. Fo...

An important predictor of historical sound change, functional load, fails to capture insights from speech perception. Building on ideal observer models of word recognition, we devise a new definition of functional load that incorporates both a priori expectedness and perceptual information. We explore this new measure with a simple model and find that it outperforms tra-

We characterize factor congruences in semilattices by using generalized notions of order ideal and of direct sum of ideals. When the semilattice has a minimum (maximum) element, these generalized ideals turn into ordinary (dual) ideals. Resumen. En este trabajo damos una caracterización de las congruencias factor en semirret́ıculos usando nociones generalizadas de ideal y suma directa de ideales...

Atomistic simulations are employed to investigate chemical short-range ordering in two body-centered cubic refractory multi-principal element alloys, HfMoNbTaTi and HfNbTaTiZr, its influence on their ideal simple shear strengths. Both the alias affine strengths analyzed {110} {112} planes opposing 111 directions. In both quinary local of NbNb, TaTa, HfNb, HfTa, NbTa is preferred as annealing te...

CT images with body weight loading are desired for preoperative planning on TKA surgery. In our proposed method, we perform stress analysis by the finite element method (FEM) for bone mesh structure by generating CT images, and we estimate an ideal standing position of the loaded state (referred to as deformed CT images of the ideal standing position). We also compare the deformed CT image with...

Let $L$ be a lattice in $ZZ^n$ of dimension $m$. We prove that there exist integer constants $D$ and $M$ which are basis-independent such that the total degree of any Graver element of $L$ is not greater than $m(n-m+1)MD$. The case $M=1$ occurs precisely when $L$ is saturated, and in this case the bound is a reformulation of a well-known bound given by several authors. As a corollary, we show t...

Introduction. Relations between the multiplication ring of a ring (= non-associative ring)1 and the ring itself have been pointed out by a number of writers [l-7]. In the present note it is shown that the ideal lattice of a ring with unit element is isomorphic to the sublattice of all right ideals of the multiplication ring which contain the annihilator of the unit. A corresponding result is ob...