Abstract:
The article describes a novel approach to a power restoration in medium voltage power distribution network. It focuses primary at searching of a new network configuration enabling to minimalize the size of faulted area and to restore the power for the highest possible number of loads. It describes characteristic features of medium voltage power distribution network and discusses the implementation of the presented approach in existing networks. A software tool, developed by the authors, including physical simulation of model network and its autonomous control system is described. An example of fault situation in a virtual distribution network is presented. Afterwards, the solution of restoration problem by proposed multiagent system is simulated using the software tool described in the paper.

Abstract:
Let $\T$ be a $2$-torsion free triangular ring and let $\varphi:\T\rightarrow \T$ be an additive map. We prove that if $\A \varphi(\B)+\varphi(\B)\A=0$ whenever $\A,\B\in \T$ are such that $\A\B=\B\A=0$, then $\varphi$ is a centralizer. It is also shown that if $\tau:\T\rightarrow \T$ is an additive map satisfying $\label{t2} X,Y\in \T, \quad XY=YX=0\Rightarrow X \tau(Y)+\delta(X)Y+Y\delta(X)+\tau(Y)X=0$, where $\delta:\T\rightarrow \T $ is an additive map satisfies $X,Y\in \T, \quad XY=YX=0\Rightarrow X \delta(Y)+\delta(X)Y+Y\delta(X)+\delta(Y)X=0$, then $\tau(\A)=d(\A)+\A \tau(\textbf{1})$, where $d:\T\rightarrow \T$ is a derivation and $\tau(\textbf{1})$ lies in the centre of the $\T$. By applying this results we obtain some corollaries concerning (Jordan) centralizers and (Jordan) derivations on triangular rings.

Abstract:
We provide that any Jordan derivation from the block upper triangular matrix algebra $\T = \T(n_{1},n_{2}, \cdots, n_{k})\subseteq M_{n}(\mathbb{\C})$ into a $2$-torsion free unital $\T$-bimodule is the sum of a derivation and an antiderivation.

Abstract:
Let $Alg \mathcal{N}$ be a nest algebra associated with the nest $ \mathcal{N}$ on a (real or complex) Banach space $\X$. Suppose that there exists a non-trivial idempotent $P\in Alg\mathcal{N}$ with range $P(\X) \in \mathcal{N}$ and $\delta:Alg\mathcal{N} \rightarrow Alg\mathcal{N}$ is a continuous linear mapping (generalized) left derivable at $P$, i.e. $\delta(ab)=a\delta(b)+b\delta(a)$ ($\delta(ab)=a\delta(b)+b\delta(a)-ba\delta(I)$) for any $a,b\in Alg\mathcal{N}$ with $ab=P$. we show that $\delta$ is a (generalized) Jordan left derivation. Moreover, we characterize the strongly operator topology continuous linear maps $\delta$ on some nest algebra $Alg\mathcal{N}$ with property that $\delta(P)=2P\delta(P)$ or $\delta(P)=2P\delta(P)-P\delta(I)$ every idempotent $P$ in $Alg\mathcal{N}$.

Abstract:
Let $\A$ be a unital complex (Banach) algebra and $\M$ be a unital (Banach) $\A$-bimodule. The main results describe (continuous) derivations or Jordan derivations $D:\A\rightarrow \M$ through the action on zero products, under certain conditions on $\A$ and $\M$. The proof is based on the consideration of a (continuous) bilinear map satisfying a related condition.

Abstract:
Let $\Mn$ be the ring of all $n \times n$ matrices over a unital ring $\mathcal{R}$, let $\mathcal{M}$ be a 2-torsion free unital $\Mn$-bimodule and let $D:\Mn\rightarrow \mathcal{M}$ be an additive map. We prove that if $D(\A)\B+ \A D(\B)+D(\B)\A+ \B D(\A)=0$ whenever $\A,\B\in \Mn$ are such that $\A\B=\B\A=0$, then $D(\A)=\delta(\A)+\A D(\textbf{1})$, where $\delta:\Mn\rightarrow \mathcal{M}$ is a derivation and $D(\textbf{1})$ lies in the centre of $\mathcal{M}$. It is also shown that $D$ is a generalized derivation if and only if $D(\A)\B+ \A D(\B)+D(\B)\A+ \B D(\A)-\A D(\textbf{1})\B-\B D(\textbf{1})\A=0$ whenever $\A\B=\B\A=0$. We apply this results to provide that any (generalized) Jordan derivation from $\Mn$ into a 2-torsion free $\Mn$-bimodule (not necessarily unital) is a (generalized) derivation. Also, we show that if $\varphi:\Mn\rightarrow \Mn$ is an additive map satisfying $\varphi(\A \B+\B \A)=\A\varphi(\B)+\varphi(\B)\A \quad (\A,\B \in \Mn)$, then $\varphi(\A)=\A\varphi(\textbf{1})$ for all $\A\in \Mn$, where $\varphi(\textbf{1})$ lies in the centre of $\Mn$. By applying this result we obtain that every Jordan derivation of the trivial extension of $\Mn$ by $\Mn$ is a derivation.

Abstract:
Let $S$ be an inverse semigroup with the set of idempotents $E$. We prove that the semigroup algebra $\ell^{1}(S)$ is always $2n$-weakly module amenable as an $\ell^{1}(E)$-module, for any $n\in \mathbb{N}$, where $E$ acts on $S$ trivially from the left and by multiplication from the right.

Abstract:
Referring to basic Weberian notions of rationalization and secularization, I try to find a more accurate sense of the term “secularization”, intending to describe adequately the position of religion in modernity. The result of this query is—or at least should be—a new, original conceptualization of religion as one of finite provinces of meaning within one paramount reality of the life-world, as defined by Alfred Schutz. I proceed by exposing a well known, major oversimplification of the Weberian concept of secularization, very well outlined in Peter Berger’s The sacred canopy, in order to point to the genuine, much more differentiated position of Max Weber in this matter (especially from the period of Foundations of social economic and Economy and society), and, consequently, to return to the roots of Berger’s thought: phenomenological sociology of Alfred Schutz, an attempt to assure the philosophical foundations of Weber’s sociological theory. At a closer glimpse, transformation of religion in the modern process of rationalization does not consist—according to Weber—in eliminating religion and thus depriving society of the religious source of meaning, but in parallel emancipation of many different domains of rationality, including religion itself. Using Schutz’s analysis of the social world as a complex structure of many different final provinces of meaning, I describe religion as such a province and show what does the process of rationalization of this province consist and what it should consist in: a complex, ongoing exchange of cognitive relevances and contents, combined with growing autonomy of many different sub-worlds. Schutz’s theory of symbol, rooted in Edmund Husserl’s description of constitution of complex objects in mono- and polythetic acts of consciousness, moves the analysis to the epistemological level, pointing to a chance of intensifying our cognitive relation to reality through increasing interpenetration of various sub-universes of meaning.

Abstract:
The slurry method is one of the oldest techniques of deposition of aluminide coating on the nickel superalloy, titanium alloys and steel. It is characterized by relatively low costs of its realisation and necessary equipment. This method en-ables a simple modification of chemical composition of the coating through addition of different powders. The author showed study on the possibility of modification of the Al-Si slurry chemical composition used for aluminide coating deposition by addition of MeCrAlY powder. The slurry was deposited by immersion than the diffusion treatment at 950℃ for two hours was applied. The thickness of obtained coatings was in the range of 30 - 65 μm.

Abstract:
利用激光光解NO2分子,通过共振增强多光子电离(REMPI resonance enhanced multiphoto ionization)及飞行时间(TOF time of flight)质谱技术,获得了振转态分辨的NO(X2Π,υ″,J″)与自旋-轨道分辨的氧原子O(2P3PJ″＝2,1,0)离子谱.NO分子与O原子的离子信号强度与UV电离激光能量之间的关系分别能用二次方和三次方曲线很好拟合,它表明光解产物NO分子和氧原子是分别通过(1+1)和(2+1)多光子吸收过程而被电离的.由氧离子信号得到的氧原子基态三个自旋-轨道支能级布居比f1与f0分别为0.54±0.09和 0.20±0.04,这一比值与统计分布计算的值为0.6和0.2一致.