The cohomology ring of the 12-dimensional Fomin-Kirillov algebra

The $12$-dimensional Fomin-Kirillov algebra $FK_3$ is defined as the quadratic algebra with generators $a$, $b$ and $c$ which satisfy the relations $a^2=b^2=c^2=0$ and $ab+bc+ca=0=ba+cb+ac$. By a result of A. Milinski and H.-J. Schneider, this algebra is isomorphic to the Nichols algebra associated to the Yetter-Drinfeld module $V$, over the symmetric group $\mathbb{S}_3$, corresponding to the conjugacy class of all transpositions and the sign representation. Exploiting this identification, we compute the cohomology ring $Ext_{FK_3}^*(\Bbbk,\Bbbk)$, showing that it is a polynomial ring $S[X]$ with coefficients in the symmetric braided algebra of $V$. As an application we also compute the cohomology rings of the bosonization $FK_3\#\Bbbk\mathbb{S}_3$ and of its dual, which are $72$-dimensional ordinary Hopf algebras.Comment: v3: Final version, accepted for publication in Advances in Mathematic

THE RISKS OF A TOO QUICK EURO ADOPTION BY THE EU MEMBER STATES. THE CASE OF PORTUGAL

In this article we present the risks faced by the new countries that have joined the European Union, and which also desire to adopt the euro currency as quickly as possible. We will analyze the existing literature regarding the ways these risks manifest themselves, depending on the economic conditions present in these countries. The risks are mostly caused by an incomplete fulfillment of the optimum currency area conditions, especially the ones regarding the synchronization of the business cycles, the existence of mitigation mechanisms in the case of asymmetric shocks, and to a lesser extent, the insufficient flexibility of the European labor markets. In addition, because there are different economic conditions between the countries that plan on introducing the euro currency and the ones that already had, mostly related to a lower economic development and lower prices, there are specific risks that affect the former countries. Moreover, the benefits of entering the EMU - greater monetary stability, reduced transaction costs, lower exchange rate volatility and a decrease of the interest rates - can in some specific cases become also costs. In order to quantify all these elements, we have constructed a case study of Portugal, which has entered the EMU in the first wave. We have determined that Portugal's experience after the euro introduction was a negative one, when compared with the previous period, because the convergence process did not actually happened, as expected. Not only that, but the economic differences between Portugal and the other EMU countries deepened, and the country's fiscal situation also deteriorated badly in all these years, up to the point where Portugal was forced to ask for external help. The case of Portugal is very important for the countries that are eager to adopt the common currency without first achieving a sustainable economic development, through increasing labor productivity and exports. It shows that fulfilling the nominal criteria and entering EMU must not be a declared goal, but just the last measure implemented after reducing the economic disparities and reaching a balanced economic development. Based on the existing realities from the Central and Eastern European states, different scenarios can be constructed that will take into account the way these risks influence the future economic environment, should these states were to decide accelerating the common currency adoption process.euro, risk, Portugal, adoption, EMU

Virtualization: an old concept in a new approach

Virtualization technology is transforming today’s IT community, offering new possi-bilities to improve the performance and efficiency of IT infrastructure by a dynamic mapping of the PC resources, enabling to run multiple applications and operating systems on a single physical system. Virtualization also offers high availability and error recovery solutions by encapsulating entire systems into single files that can be replicated and restored on any desti-nation machine. This paper brings new elements related to the concept of virtualization, presenting the princi-ples, the new architectures and the advantages of the virtualization. We make also a brief comparison between the PC’s functional structure before and after the virtualization. Finally, we present licensed software to create and run multiple virtual machines on a personal com-puter

ROMANIA S EU ACCESSION IMPACT ON THE DEVELOPMENT OF ROMANIAN ECONOMY

Romania joined the EU on January 1, 2007. Becoming a full member had effects on both Romania and the European Union. Once the Association Treaty had been signed, a complex process of integration began. The integration process didn’t end after Romania’s EU accession but will continue to integrate the economies of all Member States. The questions that we answer are: Which were the effects felt by Romania in the pre-accession period? What happened after the accession to the European Union?effects, negotiating, Accession Treaty, accession criteria, economic integration, European Union, Romania, impact on Romanian economy

Data center virtualization and its economic implications for the companies

In the current situation of the economic crisis, when companies target budget cuttings in a context of an explosive data growth, the IT community must evaluate potential technology developments not only on their technical advantages, but on their economic effects as well.data centre; virtualization; tiered storage; provisioning software; unified computing.

Modelling Intelligent Energy Distribution Systems by Hyperdag P Systems

The paper introduces a new model in membrane computing, using the hy- perdag P systems to simulate a complex, feedback-driven energy distribution system. The proposed model is tested within an ad-hoc developed simulator, and the evolution of the system is presented step by step

The psychological influence of the diagnosis of breast cancer on therapeutic options selection

The therapeutic management decision-making process for breast cancer is complex, and is influenced by multiple factors including patient age, comorbidities, ethnicity, education, and availability of immediate or delayed reconstruction options. Our study analysed 276 patients diagnosed with breast cancer in the “Colțea” Clinical Hospital between 2014 and 2015. Mean patients age was 61.24, median 62, with a range of 31 to 89 years. Younger age was associated with a less advanced local disease and younger patients were more likely to choose and benefit from conservative surgery. Most patients (61.76%) came from rural areas. Place of origin had a significant influence on the tumor size at the time of diagnosis (3.9 cm vs. 1.8cm) as well as on the choice of surgical procedure. Personalized treatment management plans that include aesthetic satisfaction coupled with oncological safety should be the objectives of contemporary breast surgery. Patient age is so important to the decision making process that it has been proposed as a determinant of educational and counselling strategies. From our experience, young patients from urban areas were more proactive patients. They were diagnosed earlier and more involved in treatment decisions compared with patients from rural areas, who generally did not question the surgeon’s opinion. Factors that influence the decision-making process likely include age, socioeconomic status, availability of radiotherapy, the necessity of periodic follow-up and the concern about recurrence

Data center virtualization and its economic implications for the companies

In the current situation of the economic crisis, when companies target budgetcuttings in a context of an explosive data growth, the IT community must evaluate potentialtechnology developments not only on their technical advantages, but on their economiceffects as well. More then ever, the old cliché “doing more things with fewer resources” istrue today. Many IT companies started building very large facilities, called data centers(DCs) or Internet DC (IDCs), which provide businesses a wide range of solutions forsystems deployment and operation. In recent years, the IT departments around the worldhave moved from data center and infrastructure consolidation to virtualization.Data center virtualization is the process of aligning available resources with the actualneeds of the offered services, moving from physical servers to virtual servers, sharing andprovisioning servers, networks, storage, and applications. By taking advantage of threebasic innovations — virtualization, tiered storage architectures and dynamic provisioningsoftware — an organization can achieve greater efficiencies in their current computingenvironment.Such a unified computing architecture offers end-to-end virtualization; all structures areoptimized for virtualized environments, from the CPU to the aggregation layer. Incombination with embedded management, this new approach increases responsiveness andreduces the opportunities for human error, improving consistency and reducing server andnetwork deployment times