Getting out of Crisis of SME Sector

Without any doubt, relaunching Romanian economy depends very much on SME sector getting out of the crisis, sector which has the main contribution to GDP production, to state budget income and human resources employment. Starting from these premises, based on scientific research performed in the framework of the VALAD* project, we present in the following a group of coordinates and markers which, in our opinion, are capable to relaunch indigenous SME sector. Elements contained in this study are complementary to the ones presented in the article “Policy coordinates concerning SME sector development in Romania”, published in the previous issue of this magazine.crisis; SME sector; SME’s management; entrepreneurship.

The Classification of All Crossed Products H4#k[Cn]H_4 \# k[C_{n}]

Using the computational approach introduced in [Agore A.L., Bontea C.G., Militaru G., J. Algebra Appl. 12 (2013), 1250227, 24 pages, arXiv:1207.0411] we classify all coalgebra split extensions of $H_4$ by $k[C_n]$, where $C_n$ is the cyclic group of order $n$ and $H_4$ is Sweedler's $4$-dimensional Hopf algebra. Equivalently, we classify all crossed products of Hopf algebras $H_4 \# k[C_{n}]$ by explicitly computing two classifying objects: the cohomological 'group' ${\mathcal H}^{2} ( k[C_{n}], H_4)$ and $\text{CRP}( k[C_{n}], H_4):=$ the set of types of isomorphisms of all crossed products $H_4 \# k[C_{n}]$. More precisely, all crossed products $H_4 \# k[C_n]$ are described by generators and relations and classified: they are $4n$-dimensional quantum groups $H_{4n, \lambda, t}$, parameterized by the set of all pairs $(\lambda, t)$ consisting of an arbitrary unitary map $t : C_n \to C_2$ and an $n$-th root $\lambda$ of $\pm 1$. As an application, the group of Hopf algebra automorphisms of $H_{4n, \lambda, t}$ is explicitly described

Getting out of Crisis of SME Sector

Without any doubt, relaunching Romanian economy depends very much on SME sector getting out of the crisis, sector which has the main contribution to GDP production, to state budget income and human resources employment. Starting from these premises, based on scientific research performed in the framework of the VALAD* project, we present in the following a group of coordinates and markers which, in our opinion, are capable to relaunch indigenous SME sector. Elements contained in this study are complementary to the ones presented in the article “Policy coordinates concerning SME sector development in Romania”, published in the previous issue of this magazin