1,721,062 research outputs found
Yetter–Drinfeld post-Hopf algebras and Yetter–Drinfeld relative Rota–Baxter operators
Full text linkRecently, Li, Sheng and Tang introduced post-Hopf algebras and relative Rota–Baxter operators (on cocommutative Hopf algebras), providing an adjunction between the respective categories under the assumption that the structures involved are cocommutative. We introduce Yetter–Drinfeld post-Hopf algebras, which become usual post-Hopf algebras in the cocommutative setting. In analogy with the correspondence between cocommutative post-Hopf algebras and cocommutative Hopf braces, the category of Yetter–Drinfeld post-Hopf algebras is isomorphic to the category of Yetter–Drinfeld braces introduced by the author in a joint work with D. Ferri. This allows to explore the connection with matched pairs of actions and provide examples of Yetter–Drinfeld post-Hopf algebras. Moreover, we prove that the category of Yetter–Drinfeld post-Hopf algebras is equivalent to a subcategory of bijective Yetter–Drinfeld relative Rota–Baxter operators. The latter structures coincide with the inverse maps of Yetter–Drinfeld 1-cocycles introduced by the author and D. Ferri, and generalise bijective relative Rota–Baxter operators on cocommutative Hopf algebras. Hence the previous equivalence passes to cocommutative post-Hopf algebras and bijective relative Rota–Baxter operators. Once the surjectivity of the Yetter–Drinfeld relative Rota–Baxter operators is removed, the equivalence is replaced by an adjunction and one can recover the result of Li, Sheng and Tang in the cocommutative case
Capitale sociale e cultura civile in Italia. L'ipotesi di mediazione dei reticoli sociali nel rapporto tra caratteristiche individuali e cultura civile
No full textQuesta tesi tratta il rapporto tra i concetti di capitale sociale e cultura civile. In gran parte della letteratura, la cultura civile è assimilata al concetto di capitale sociale in quanto ne costituisce un'articolazione. L'ipotesi principale della ricerca è invece che il capitale sociale agisca come mediatore tra le caratteristiche degli individui e la loro cultura civile. Ad un livello più specifico l'ipotesi di ricerca prevede che la presenza di capitale sociale bridging favorisca la presenza di maggiore cultura civile. L'analisi della letteratura sociologica e politologica e dei lavori empirici in cui i due concetti sono messi in relazione mostra la possibilità di assumere che il capitale sociale intervenga nella relazione tra l'individuo e la propria cultura civile, con un'opera di mediazione. L'approccio teorico impiegato per studiare i due concetti è di tipo relazionale, integrato a livello metodologico con l'analisi dei reticoli sociali. Per testare l'ipotesi centrale della ricerca sono stati utilizzati modelli di equazioni strutturali per variabili latenti adatti a testare i legami causali tra costrutti teorici non osservabili direttamente per i quali si dispone solamente degli indicatori delle loro manifestazioni. A livello empirico la ricerca si avvale dei dati derivanti da un'indagine nazionale nella quale sono stati rilevati anche le caratteristiche di forma e contenuto delle reti di sostegno degli intervistati. I risultati ottenuti dall'applicazione dei modelli di equazioni strutturali mostrano che l'ipotesi di mediazione non viene respinta sulla base dei dati empirici e viene messo in evidenza il ruolo determinante del capitale sociale bridging per la presenza di cultura civile. Infine, tra gli esiti principali della ricerca va segnalata la robustezza dell'analisi teorica relazionale per il concetto di cultura civile e della definizione di capitale sociale adottata.This thesis deals with the relationship between the concepts of social capital and civil culture. In much of the literature civil culture corresponds to the concept of social capital as it represents its enunciation. Instead, the main hypothesis of this research is that social capital acts as a mediator between the characteristics of individuals and their civil culture. For a more specific level the research hypothesis states that the presence of bridging social capital fosters the presence of more civil culture. The analysis of political science and sociological literature and empirical works in which the two concepts are related shows the possibility of assuming that social capital is involved in the relationship between the individual and its civil culture, with an effort of mediation. The theoretical approach used to study the two concepts is the one of relational sociology, integrated at the methodological level with social networks analysis. The central hypothesis of the research was tested using structural equation models for latent variables, suitable to test causal links between theoretical constructs not observable directly, for which the only available indicators are their outcomes. Empirically, data from a national survey had been used, collecting also form and content characteristics of respondents' support networks. The results of the application of structural equation modeling show that the mediation hypothesis shall not be refused on the basis of empirical data and the role of bridging social capital for the presence of civil culture is highlighted. Finally, among the main outcomes of the research, it has been reported the robustness of the theoretical analysis for the concept of civil culture using relational sociology and for the definition of social capital adopted
Paola Di Nicola, Sandro Stanzani e Luigi Tronca (2010), Forme e contenuti delle reti di sostegno. Il capitale sociale a Verona
No full textSocial Capital in Relational Approaches: Methodology and Results of Empirical Studies
Full text linkThis review tried to highlight the progress made in the studies that use the concept of social capital from a relational perspective, especially from the point of view of the methods used and the results obtained in relation to other concepts such as interpersonal trust, participation and civic engagement
Analysis of Mastodon's Italian Messages: Networks, Topics, LLM and Machine Learning
No full textThis study examines Italian-language content on the social media platform Mastodon, employing some typical tools for textual analysis. A set of posts (known as ‘toots’ on Mastodon) related to the hashtag #intelligenzaartificiale from the past two years were collected. Co-occurrence networks between hashtags and cross-author referrals within the same toots were analyzed. Next, structural topic modeling was utilized to identify four topics and their most important keywords. A comparison was then made between the predictive ability of a set of words and that of a transformer using a classifier, resulting in similar findings. Furthermore, a SHAP analysis was conducted to demonstrate the impact of individual words on the classification model, providing an explanation of the contribution of individual features
Quantum Yang-Baxter Equation: Algebraic Constructions and Categorical Perspectives
No full textL'abstract è presente nell'allegato / the abstract is in the attachmen
Matched pairs and Yetter-Drinfeld braces
Full text linkIt is proven that a matched pair of actions on a Hopf algebra H is equivalent to the datum of a Yetter–Drinfeld brace, which is a novel structure generalising Hopf braces. This improves a theorem by Angiono, Galindo and Vendramin, originally stated for cocommutative Hopf braces. These Yetter–Drinfeld braces produce Hopf algebras in the category of Yetter–Drinfeld modules over H, through an operation that generalises Majid’s transmutation. A characterisation of Yetter–Drinfeld braces via 1-cocycles, in analogy to the one for Hopf braces, is given. Every coquasitriangular Hopf algebra H will be seen to yield a Yetter–Drinfeld brace, where the additional structure on H is given by the transmutation. We compute explicit examples of Yetter–Drinfeld braces on the Sweedler’s Hopf algebra, on the algebras E(n), on SLq(2), and an example in the class of Suzuki algebras
Social capital and social network sites: an empirical analysis of European high school students
Full text linkThis paper shows the results of part of an empirical study which was developed in the sphere of the PACT EU project (Pathways for Carbon Transitions). The performed analysis concerns the social capital of young Europeans in terms of trust, size of personal networks, volunteering activities and usage of social network sites (SNS). The purpose of the work is, on one hand, exploratory, especially in aspects related to the comparison between relational context of social networks and virtual networks. At the same time, the research aims to confirm on this particular population some of the hypothesis coming from the literature on social capital, and to verify the existence of differences between European countries regarding relational characteristics
Pixel vs. Font. Facebook and Young People’s Self-Presentation.
No full textThis paper explores various strategies for self-presentation used on Facebook, among a sample of 1330 Italian students aged 14-19 years. Based on two social network site practices, the production of text material and the publication of personal photos, we have constructed a model embracing four types of categories and behaviors. We examined the categories according to structural variables, variables regarding self-narration, and two psychological scales. The results show the validity of the four categories in distinguishing different styles of Facebook use and allowing us to define those styles in greater depth. In particular, the publication of photos by those who do not contribute written text seems to indicate the need to maintain one’s real-life social network; the production of text alone seems to reflect the need to deepen one’s most passionate interests; while the combination of the two communicative modes tends to reveal a greater capacity in planning for the future
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