scholarly journals SKEW CATEGORY ALGEBRAS ASSOCIATED WITH PARTIALLY DEFINED DYNAMICAL SYSTEMS

2012 ◽  
Vol 23 (04) ◽  
pp. 1250040 ◽  
Author(s):  
PATRIK LUNDSTRÖM ◽  
JOHAN ÖINERT

We introduce partially defined dynamical systems defined on a topological space. To each such system we associate a functor s from a category G to Topop and show that it defines what we call a skew category algebra A ⋊σ G. We study the connection between topological freeness of s and, on the one hand, ideal properties of A ⋊σ G and, on the other hand, maximal commutativity of A in A ⋊σ G. In particular, we show that if G is a groupoid and for each e ∈ ob (G) the group of all morphisms e → e is countable and the topological space s(e) is Tychonoff and Baire. Then the following assertions are equivalent: (i) s is topologically free; (ii) A has the ideal intersection property, i.e. if I is a nonzero ideal of A ⋊σ G, then I ∩ A ≠ {0}; (iii) the ring A is a maximal abelian complex subalgebra of A ⋊σ G. Thereby, we generalize a result by Svensson, Silvestrov and de Jeu from the additive group of integers to a large class of groupoids.

2020 ◽  
Vol 36 (2) ◽  
pp. 249-277
Author(s):  
Tzu-Lung Chiu
Keyword(s):  
The One ◽  

Vinaya rules embody the ideal of how Buddhists should regulate their daily lives, and monastics are required to observe them, despite the fact that they were compiled nearly 2,500 years ago in India: a context dramatically different not only from Chinese Buddhism's present monastic conditions, but from its historical conditions. Against this backdrop, rules of purity (qinggui) were gradually formulated by Chinese masters in medieval times to supplement and adapt vinaya rules to China's cultural ethos and to specific local Chinese contexts. This study explores how the traditional qinggui are applied by the Buddhist sa?gha in present-day Taiwan, and contrasts modern monastics' opinions on these rules and their relation to early Buddhist vinaya, on the one hand, against classical Chan literature (such as Chanyuan qinggui) and the Buddhist canon (such as Dharmaguptakavinaya), on the other. This comparison fills a notable gap in the existing literature.


2017 ◽  
Vol 61 (1) ◽  
pp. 103-130
Author(s):  
SHINJINI DAS

AbstractThis article explores the locally specific (re)construction of a biblical figure, the Apostle St Paul, in India, to unravel the entanglement of religion with British imperial ideology on the one hand, and to understand the dynamics of colonial conversion on the other. Over the nineteenth century, evangelical pamphlets and periodicals heralded St Paul as the ideal missionary, who championed conversion to Christianity but within an imperial context: that of the first-century Roman Mediterranean. Through an examination of missionary discourses, along with a study of Indian (Hindu and Islamic) intellectual engagement with Christianity including Bengali convert narratives, this article studies St Paul as a reference point for understanding the contours of ‘vernacular Christianity’ in nineteenth-century India. Drawing upon colonial Christian publications mainly from Bengal, the article focuses on the multiple reconfigurations of Paul: as a crucial mascot of Anglican Protestantism, as a justification of British imperialism, as an ideological resource for anti-imperial sentiments, and as a theological inspiration for Hindu reform and revivalist organization.


2020 ◽  
pp. 174387212097533
Author(s):  
Johan van der Walt

This short article on Peter Fitzpatrick’s conception of “responsive law” analyzes the ambiguous temporality that Fitzpatrick discerned in modern law. On the one hand, law makes the claim of being fully present and therefore already and completely contained in itself. This aspect of law reflects the law’s claim to “immanence,” that is, its claim of always being able to rely strictly on its own operational terms without having to take recourse to any consideration not already contained within itself. It is this aspect of law that renders the ideal of the “rule of law” feasible. On the other hand, the law’s claim to doing justice to every unique and therefore every new case also demands that it takes leave of that which is already settled within it. This aspect of law can be called its “imminence.” The imminence of the law concerns the reality that law always finds itself on the threshold of that which has not yet been said and must still be said. The article shows how Fitzpatrick relied on Freud’s concept of the totem to explain the “wondrous” unity of its immanence and imminence.


1964 ◽  
Vol 23 (4) ◽  
pp. 531-534 ◽  
Author(s):  
Frederick W. Mote

Sinology, and the case for the integrity of it: the one key word in that phrase has been as hard to define as the other has been to achieve in practice. If we can scarcely define it, and if there is no hope of achieving it for the masses, why then talk about it at all in the year 1964?I believe we can try to define Sinology, and we can point to some who have achieved it in practice. It might have seemed wisest to ask someone who has at least come close to achieving the Sinological ideal to be its spokesman on this panel. And, in fact, I urged that course upon Mr. Skinner when he first asked me to participate. He ruled that out, not so much perhaps for fear that we'd have to import one, or that such a one could be expected to speak in an unintelligible accent and would read footnotes in seven languages from original sources only—but perhaps, anomalous as it is, from the justifiable fear that the real Sinologist might speak in a way that would confuse his own green and well-worked fields with the entire province, or his own home province with the whole realm. And integrity is what we are here to talk about. For it is that integrality of the whole realm, or world, of Chinese studies that I think should define Sinology. Therefore, let someone who thinks he sees a meaningful and universal ideal, but who does not expect the ideal to be judged by himself, discuss it with the freedom that can come from having nothing personal to defend. Otherwise, it would be indeed presumptuous for me to appear here as the spokesman for Sinology; this dilemma of the spokesman vis-à-vis his subject today clearly is one that does not afflict my colleagues on this panel (for reasons at least partially nattering to them all).


2019 ◽  
Vol 41 (3) ◽  
pp. 267-287
Author(s):  
Jaroslava Hasmanová Marhánková

Drawing on in-depth biographical interviews with 12 grandfathers of young grandchildren living in Czech Republic, this study explores how men perform and conceptualize their role of grandfather in relation to their previous role of father and their own family history. The analysis shows grandparenthood as an ambivalent space for the reconstruction of masculinity. One the one hand, grandparenthood was depicted by the participants as an important way of transitioning one’s own relationship to care and emotionality that enable them to relate to the care for young children outside the traditional frameworks of masculinity associated with the role of father. On the other hand, grandfather role represents an important tool for maintaining a connection with the ideal of hegemonic masculinity in older age and as a space for reconstructing the dichotomy between femininity and masculinity and the traditional dichotomies of care/work, activity/passivity, and private/public.


1931 ◽  
Vol 25 (1) ◽  
pp. 1-20 ◽  
Author(s):  
Walter Sandelius

So evident has become the reality of the international community on the one hand, and that of occupational groups on the other, that sociology, which is more concerned with social tendencies than with formal doctrine of any kind, has largely discarded the idea of the sovereign nation-state. But juristic science in considerable measure still clings to it. This is true because the latter is naturally more concerned than sociology with the conservative function of legal formalities. Yet the progressivist influence that sociology has already exerted upon legal concepts is likely to continue; which means that the present sociological insistencies will more nearly correspond with the legal ideas of tomorrow than they do with those of today. Law, in order to maintain its function, must of necessity feed upon the fresh materials of change; to live, it will, in the long run, have to conform to moral and social needs. Morality, which is always at least a step ahead of the law, requires to be followed by the law, for the sake of the life of both, at a distance neither too great nor too short. For the law that follows too closely upon the heels of morality, no less than that which is too far behind, fails to be generally respected and enforced. Legal development is in constant need of being harmonized with all the other strands of history, to the end of the good life. This historic propriety is the ideal not only for the content of legislation, but also—though here the steps of change are fewer and longer—in the realm of fundamental juristic concepts such as that of national sovereignty.


Author(s):  
Elena V. Glukhova ◽  

The article discusses the modification of the “estate topos” of Russian sym- bolism in Andrei Bely’s memoir prose. The estates Shakhmatovo, Dedovo, Serebrianyj Kolodez played a key role in the cultural history of Russian symbolism. The peculiarity of Bely’s “estate text”, on the one hand, is that he found an original neo-mythological mode in the image of these estates, on the other hand, gave them heterotopic properties. The article shows how the tonality of his memoirs about Alexander Blok changes from the first edition in journal “Notes of Dreamers” (1922) to the last part of his memorial trilogy “The Beginning of the Century” (1932). If in the first version “Shakhmatovo” appears in neo-mythological meaning and a number of significant symbolic universals are realized, then in the latter version this way of representing the estate is practically erased. The image of Alexander Blok as a spiritual and symbolic center of estate cul- ture is changing: if originally he had the folklore features of Ivan Tsarevich, the ideal symbolist poet on a background of nature, and his wife was Tsarevna, the embodiment of Sophia the Wisdom of God, then later Blok appears as a Lord, carried away only by the issues of managing the estate, and his wife gets the features of an ordinary woman. The estate Serebrianyj Kolodez appears as a heterotopic space, and the features of the estate Dedovo are recognizable in the novel “The Silver Dove”.


Author(s):  
Florin Leonte

This chapter argues that, despite the differences of form, the seven orations included in this collection constituted a unitary collection and, for this reason, one should consider their interrelations as well as their distinctive features. Furthermore, the seven orations establish a tight connection with the preceding work, the Foundations, with which they share several themes. Admittedly, far from being a text focused on kingship, the Orations are rather geared towards the presentation of an individual’s acquisition of moral values. The correlation between ethics, the rulers’ virtues and rhetorical skills is framed in a tradition that originated in the writings of the rhetoricians of Hellenistic and Graeco-Roman times. Yet in Manuel’s case, through the development of the idea of a special kind of imperial behaviour, the presentation of moral virtues reflects, on the one hand, such a tradition and, on the other hand, an insight that could only have come with practical experience. Drawing on multiple philosophical sources, this formulation of imperial behaviour was based on the ideal of tolerance, with strong bonds of friendship and values such as education and moderate enjoyment of life.


Author(s):  
T. W. Rhys Davids

Numerous examples might be quoted of philosophical, or political, or religious parties who have claimed for themselves a central, or a moderate, position, far removed from the ignorances and foolishnesses of the extremists on either side. There are even cases in which the critical historian may observe that, on a fair survey of the points in dispute at the time and place in question, the claim is fairly justified. So the Buddha claimed for his view of life that it was the Middle Way between worldliness, or indifference, on the one side, and asceticism on the other. So Aristotle described the ideal virtue as the Golden Mean.


2018 ◽  
Vol 62 (2) ◽  
pp. 619-626
Author(s):  
Kelly Oliver ◽  

Working against both Hegelian recognition and ethics based on vulnerability, I argue for response ethics or an ethics of ambivalence. While the ideal of mutual recognition is admirable, in practice, recognition is experienced as conferred by the very groups and institutions responsible for withholding it in the first place. In other words, recognition is distributed according to an axis of power that is part and parcel of systems of dominance and oppression. I both challenge the concept of vulnerability as exclusive to, or constitutive of, humanity, on the one hand, and criticize the concept for leveling differences in levels of vulnerability, on the other.


Sign in / Sign up

Export Citation Format

Share Document