On the ranks of certain monoids of transformations that preserve a uniform partition

The rank of a semigroup, an important and relevant concept in Semigroup Theory, is the cardinality of a least-size generating set. Semigroups of transformations that preserve or reverse the order or the orientation as well as semigroups of transformations preserving an equivalence relation have been widely studied over the past decades by many authors. The purpose of this article is to compute the ranks of the monoid

The cardinal of various monoids of transformations that preserve a uniform partition

In this paper we give formulas for the number of elements of the monoids ORm x n of all full transformations on it finite chain with tun elements that preserve it uniform m-partition and preserve or reverse the orientation and for its submonoids ODm x n of all order-preserving or order-reversing elements, OPm x n of all orientation-preserving elements, O-m x n of all order-preserving elements, O-m x n(+) of all extensive order-preserving elements and O-m x n(-) of all co-extensive order-preserving elements.

Evidences for direct magnetic patterning via diffusive transformations using femtosecond laser interferometry

The application of femtosecond laser interferometry to direct patterning of thin-film magnetic alloys is demonstrated. The formation of stripe gratings with submicron periodicities is achieved in Fe1-xVx (x=18-34wt. %) layers, with a difference in magnetic moments up to Delta mu/mu similar to 20 between adjacent stripes but without any significant development of the topographical relief (<1% of the film thickness). The produced gratings exhibit a robust effect of their anisotropy shape on magnetization curves in the film plane. The obtained data witness ultrafast diffusive transformations associated with the process of spinodal decomposition and demonstrate an opportunity for producing magnetic nanostructures with engineered properties upon this basis.

Congruences on monoids of transformations preserving the orientation on a finite chain

Journal of Algebra, 321 (2009), p. 743–757

Congruences on monoids of order-preserving or order-reversing transformations on a finite chain

Glasgow Mathematical Journal, nº 47 (2005), pg. 413-424

Presentations for some monoids of injective partial transformations on a finite chain.

Communications in Algebra, 33 (2005), p. 587-604

The cardinal and the idempotent number of various monoids of transformations on a finite chain

Bulletin of the Malaysian Mathematical Sciences Society, 2, 34 (1),(2011), p. 79–85

The cardinal of various monoids of transformations that preserve a uniform partition

Bulletin of the Malaysian Mathematical Sciences Society

On the monoids of transformations that preserve the order and a uniform partition

Communications in Algebra

A framework to operate transformations between distinct models differing in modelling concepts

Dissertação apresentada na Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa para obtenção do grau de Mestre em Engenharia Electrotécnica e de Computadores

A framework for efficient model transformations

The reported productivity gains while using models and model transformations to develop entire systems, after almost a decade of experience applying model-driven approaches for system development, are already undeniable benefits of this approach. However, the slowness of higher-level, rule based model transformation languages hinders the applicability of this approach to industrial scales. Lower-level, and efficient, languages can be used but productivity and easy maintenance seize to exist. The abstraction penalty problem is not new, it also exists for high-level, object oriented languages but everyone is using them now. Why is not everyone using rule based model transformation languages then? In this thesis, we propose a framework, comprised of a language and its respective environment, designed to tackle the most performance critical operation of high-level model transformation languages: the pattern matching. This framework shows that it is possible to mitigate the performance penalty while still using high-level model transformation languages.

Photochemical synthesis and functional transformations of bicyclic vinyl aziridines

Aziridines, a class of organic compounds containing a three membered heterocycle with a nitrogen atom, are extremely valuable molecules in organic and medicinal chemistry. They are frequently used as versatile precursors in the synthesis of natural products, and many biologically active molecules possess the aziridine moiety. The reactivity of aziridines has been studied, for example, in ring-opening reactions with thiols. However, not much interest seems to be given to reactions of aziridines in aqueous media, despite the numberless advantages of using water as solvent in organic chemistry. The nucleophilic ring-opening reaction of aziridines in aqueous media was here explored. Following the Kaplan aziridine synthetic methodology, in which pyridinium salts undergo a photochemical transformation to give bicyclic vinyl aziridines, new aziridines were synthetized. Their nucleophilic ring-opening reaction in water under physiological conditions was investigated and a range of sulphur, nitrogen, carbon and oxygen nucleophiles tested. Thiols, anilines and azide proved to be good nucleophiles to react with the aziridines, giving the ring-opening product in moderate to good yields. The best results were obtained with thiols, more specifically with cysteine-derived nucleophiles. Preliminary results show that these bicyclic vinyl aziridines can modify calcitonin, a peptide containing two cysteine amino acids residues, grating them the potential to be used in bioconjugation as ligands to cysteine-containing proteins, or even as enzyme inhibitors of, for example, cysteine proteases. Additionally, exploratory investigations suggest that the separation of both enantiomers of the bicyclic vinyl aziridine can be performed by taking advantage of an enzymatic methodology for the resolution of racemic secondary alcohols. Both enantiomers would be highly valuable as precursors in the synthesis of enantiomerically pure molecules, as no other method is currently reported for their separation.

Green's relations, regularity and abundancy for semigroups of quasi-onto transformations

Let V be an infinite-dimensional vector space and for every infinite cardinal n such that n≤dimV, let AE(V,n) denote the semigroup of all linear transformations of V whose defect is less than n. In 2009, Mendes-Gonçalves and Sullivan studied the ideal structure of AE(V,n). Here, we consider a similarly-defined semigroup AE(X,q) of transformations defined on an infinite set X. Quite surprisingly, the results obtained for sets differ substantially from the results obtained in the linear setting.

Las transformaciones de la burocracia provincial: capacidades del Estado en la provincia de Córdoba. Transformations of provincial bureaucracy: State´s capacities in the province of Córdoba.

A partir de las políticas de descentralización llevadas adelante en Argentina desde la década de los ochenta, las provincias han adquirido desde entonces una importante serie de nuevas funciones lo cual las ha obligado a ampliar y diversificar sus estructuras burocráticas y administrativas. Lo que este proyecto busca abordar es un análisis de las transformaciones ocurridas durante los últimos veinte años en la organización burocrática del estado provincial en Córdoba. El proyecto pretende indagar dos aspectos de la organización burocrática: por un lado, el diseño organizacional institucional (leyes de Ministerios) y la división del trabajo que ello implica; y por otro lado, los principales procesos administrativos transversales que articulan funcionalmente las diferentes áreas de la burocracia provincial (administración financiera y recursos humanos). A partir de ello nos interesa poner en relación estas transformaciones con los cambios que va experimentando la agenda gubernamental. Suponemos, en este sentido, que los cambios organizacionales responden a cambios en dicha agenda y a la relación de fuerzas políticas que va implícita en la conformación de las mismas. De este modo, nuestra hipótesis plantea que los cambios organizaciones generados por la transformación de las agendas se manifiestan de forma más inmediata en la dimensión del diseño organizacional, mientras que los procesos administrativos transversales experimentan cambios más graduales y no necesariamente vinculados a las transformaciones de la primera dimensión. El objetivo general es analizar las transformaciones de la Administración Pública Provincial (APP) en la provincia de Córdoba, a través de dos dimensiones (el diseño de la organización burocrática y los procesos administrativos transversales), desde el retorno a la democracia (1983) a la actualidad. La investigación será realizada a la luz de posturas epistemológicas y metodológicas que en las ciencias sociales sustentan la triangulación de métodos. Recurriremos tanto a fuentes documentales y estadísticas para reconstruir el proceso de transformación de la APP, como a entrevistas semiestructuradas con actores claves para indagar sobre las dimensiones identificadas en el proyecto. Se encuadra en lo que metodológicamente se denomina "estudio de caso". La investigación permitirá fortalecer el estudio de la administración y las organizaciones públicas, lo que representa una tarea altamente significativa (y necesaria) para el mejoramiento del sector público y las necesidades de la ciudadanía. El impacto esperable es la explicitación y sistematización de las transformaciones del aparato burocrático, que puedan ser observadas, mejoradas y desarrolladas por el conjunto de las carteras ministeriales, y la confección de estrategias y tecnologías de gestión que permitan incrementar las capacidades de la administración pública provincial en la realización de las políticas y la resolución de los problemas sociales.

Reine und mit einfachen Molekülen bedeckte (100)-Oberflächen von Natriumfluorid, Natriumchlorid und Rubidiumchlorid : Untersuchungen mittels Beugung langsamer Elektronen (LEED) und Fourier-Transformations-Infrarotspektroskopie (FTIRS)

Magdeburg, Univ., Fak. für Verfahrens- und Systemtechnik, Diss., 2013