一类l-半群的l-自同构

设R有1的全序环。记Mn(R)为R上n×n矩阵乘法半群,则Mn(R)在通常格序下成为l-半群。本文对l-半群Mn(R)的∨-自同构,∧-自同构以及l-自同构给出了详细的刻画。     

Associativity of the <Emphasis Type="Italic">∇</Emphasis>-operation on bands in rings

Given a multiplicative band of idempotents S in a ring R, for all e,f∈S the ∇-product e ∇ f=e+f+fe−efe−fef is an idempotent that lies roughly above e and f in R just as ef and fe lie roughly below e and f. In this paper we study ∇-bands in rings, that is, bands in rings that are closed under ∇, giving various criteria for ∇ to be associative, thus making the band a skew lattice. We also consider when a given band S in R generates a ∇-band.     

矩阵的多行拟相合分类及其应用

本文把方阵的拟相合概念推广为长方阵的多行拟相合概念，并对最简情形即Ｍ２，４（Ｆｐ）给出分类结果．此概念之一应用出现在有限环的同构分类之中．     

Exploitation of the Fiber Capacity in Optical Networks Using Time, Frequency, and Space Division Multiple Accesses

In this work we investigate how to obtain very high capacity transmissions in optical networks taking into account the limitations due to the physical channel. We consider both the case in which all the users are connected by a star coupler and the case in which the users are directly connected by the network topology. As a reference, we consider a ring network and a Shuffle Multihop Network (SMN). The use of optical systems to implement high-capacity networks is numerically investi gated by means of numerical simulations taking into consideration the channel limitations due to the chromatic dispersion, the Kerr effect, and the amplified spontaneous emission (ASE) noise of the optical amplifiers. In our model, we consider that the signal, during the routing process that is performed at the user position, undergoes only an attenuation. We suppose the use of intensity modulated signals and receivers with direct detection. Packet switching and digital transmission are assumed with soliton and conventional nonreturn to zero signals. Both wave length and time division multiple accesses are considered. The results show that, in the case of the Time Division Multiple Access (TDMA) technique, the use of a star coupler to connect the users reduces the capacity of a network with respect to the case in which a direct connection of the users is used. This is due to the strong power fluctuations that are present during the signal propagation and to the large quantity of accumulated ASE noise. On the other hand, the use of a star coupler shows the advantage to being easily reconfigurable. The Wavelength Divison Multiple Access (WDMA) technique permits us to achieve higher capacities with respect to the TDMA. This is due to the fact that in the propagation conditions, due to the presence of a star coupler, high bit rate signals are strongly degraded. On the other hand, several low bit rate signals operating at different wavelengths can propagate with a low power level, avoiding strong degradation due to the Four Wave Mixing (FWM) effect. Among the topologies considered in this work, the SMN is the one that generally permits us to reach the highest throughput because in the SMN the signal hops in a limited number of Network Interface Units (NIUs) before reaching the final destination.     

Finitely presented and coherent ordered modules and rings

We extend the usual definition of coherence, for modules over rings, to partially ordered right modules over a large class of partially ordered rings, called po-rings. In this situation, coherence is equivalent to saying that solution sets of finite systems of inequalities are finitely generated semimodules. Coherence for ordered rings and modules, which we call po-coherence, has the following features:.

(i) Every subring of Q, and every totally ordered division ring, is po-coherent.

(ii) For a partially ordered right module Aover a po-coherent poring R Ais po-coherent if and only if Ais a finitely presented .R-module and A ⁺is a finitely generated R ⁺-semimodule.

(iii) Every finitely po-presented partially ordered right module over a right po-coherent po-ring is po-coherent.

(iv) Every finitely po-presented abelian lattice-ordered group is po-coherent.     

Determinación de la presión sonora radiada por pistones circulares y anillos no planos usando un método numérico simplificado

Although the study of the sound pressure radiation from membranes and plates is not new, current and future applications have produced a large body of recent research in the field. Several works have been published on the radiation from general plane surfaces and some particular geometries such as rectangular, circular, elliptic and annular. However, the case of sound radiation from non-planar axisymmetric rings that could be applied to the design of coaxial loudspeakers has not received much attention. In this article, a simplified numerical approach for determining the sound pressure radiated from symmetric non-planar pistons and rings is presented. The method can also include those cases having a radially-symmetric velocity distribution.     

幂环的结构与分类

完整地研究了各种幂环的结构及它们之间的关系. 对幂环进行了分类, 并构造了各类的子环列和理想列.     

Octa-membered Water Ring Chain Based on Sulfonic Group in Ni(Ⅱ) Complex with 2-[(E)-(2-Oxidophenyl)methyleneamino]Ethanesulfonato and 2,2''-Bipyridinyl

The title compound, [Ni(tssb)(2,2-bipy)2]·5(H2O) 1 (tssbH2 =2-[(E)-(2-oxido-phenyl)methyleneamino]ethanesulfonato, 2,2-bipy = 2,2'-bipyridinyl), belongs to orthorhombic,space group Pbcn with a = 20.3983(18), b = 17.6929(15), c = 17.0897(15) nm, V = 6167.8(9) nm3,Mr= 688.38, Z = 8, Dc = 1.481 g·cm-3, F(000) = 2880, μ = 0.758 mm-1 and S =1.099. Each NiⅡ atom is six-coordinated by one N and one O atoms from one tssb2- anion and four N atoms from two 2,2-bipy ligands to give a distorted octahedral geometry. Noticeably, there exists a rare octa-membered water ring which presents a 1D chain by sulfonic group.     

Smash Product， Morita Context Rings and Extended Centroids

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Rings with FZP

In this paper we investigate the problem of characterizing those rings such that every nonzero polynomial with coefficients from has a finite number of zeros in . Particular attention is directed to the class of skew polynomial domains.