1,842 research outputs found
On the asymptotic behavior of the Vasconcelos invariant for graded modules
The notion of Vasconcelos invariant, known in the literature as vnumber, of a homogeneous ideal in a polynomial ring over a field was introduced in 2020 to study the asymptotic behavior of the minimum distance of projective Reed-Muller type codes. We initiate the study of this invariant for graded modules. Let R be a Noetherian N-graded ring and M be a finitely generated graded R-module. The v-number v(M) can be defined as the least possible degree of a homogeneous element x of M for which (0 :R x) is a prime ideal of R. For a homogeneous ideal I of R, we mainly prove that v(InM) and v(InM/In+1M) are eventually linear functions of n. In addition, if (0:M I) = 0, then v(M/InM) is also eventually linear with the same leading coefficient as that of v(InM/In+1M). These leading coefficients are described explicitly. The result on the linearity of v(M/InM) considerably strengthens a recent result of Conca which was shown when R is a domain and M = R, and Ficarra-Sgroi where the polynomial case is treated
On the asymptotic behaviour of the Vasconcelos invariant for graded modules
The notion of Vasconcelos invariant, known in the literature as v-number, of a homogeneous ideal in a polynomial ring over a field was introduced in 2020 to study the asymptotic behaviour of the minimum distance of projective Reed-Muller type codes. We initiate the study of this invariant for graded modules. Let R be a Noetherian N-graded ring, and M be a finitely generated graded R-module. The v-number v(M) can be defined as the least possible degree of a homogeneous element x of M for which (0:Rx) is a prime ideal of R. For a homogeneous ideal I of R, we mainly prove that v(InM) and v(InM/In+1M) are eventually linear functions of n. In addition, if (0:MI)=0, then v(M/InM) is also eventually linear with the same leading coefficient as that of v(InM/In+1M). These leading coefficients are described explicitly. The result on the linearity of v(M/InM) considerably strengthens a recent result of Conca which was shown when R is a domain and M=R, and Ficarra-Sgroi where the polynomial case is treated
Ghosh, the shadow lines, and the Indian-English novel
The prizewinning author of novels, nonfiction, and hybrid texts, Amitav Ghosh grew up in India and trained as an anthropologist. His works have been translated in over thirty languages. They cross and mix a number of genres, from science fiction to the historical novel, incorporating ethnohistory and travelogue and even recuperating dead languages. His subjects include climate change, postcolonial identities, translocation, migration, oceanic spaces, and the human interface with the environment
ENTIRE FUNCTIONS SHARING POLYNOMIALS WITH THEIR DERIVATIVES
In this paper we study the uniqueness of entire functions sharing two polynomials with their derivatives. The results of the paper improve the corresponding results of Chang and Fang (Kodai Math.J. 25(2002), 309–320) and Lahiri-Ghosh(Present author) (Analysis ,Munich. 31(2011), 47–59)
First person – Arijita Ghosh
ABSTRACT
First Person is a series of interviews with the first authors of a selection of papers published in Journal of Cell Science, helping early-career researchers promote themselves alongside their papers. Arijita Ghosh is the first author on “Leucine-rich repeat-containing 8B protein is associated with the endoplasmic reticulum Ca2+ leak in HEK293 cells”, published in Journal of Cell Science. Arijita is a PhD student in the laboratory of Amal Kanti Bera at the Indian Institute of Technology Madras, Chennai, India, investigating the role of leucine-rich repeat-containing 8 proteins in cellular calcium homeostasis.</jats:p
Understanding Terrorism in the context of Global Security
Understanding Terrorism in the context of Global Security
Author / Authors : Shreyasi Ghosh
Page no. 89-106
Discipline : Political Science/Polity/ Democratic studies
Script/language : Roman/English
Category : Research paper
Keywords: Terrorism, Violence, Threat, Global Security, Globalization
Beyond national literatures: Empire and Amitav Ghosh
Scholarship on the writer Amitav Ghosh has addressed issues of nationalism, postcolonial identity, ecocriticism, testimony, subalternity, and historiography. But the idea of Ghosh as an Asian American author with a particular relationship to the United States and its national mythologies, has barely been considered. In this essay, I explore this neglected aspect of Ghosh’s œuvre by looking at the idea of America in his writing and by situating his work within what I term "the Bengali American grain". Reading his work alongside that of other Bengali American writers and arguing that it is more ambitious thematically and more anti-imperialistic, I probe Ghosh’s problematic relationship with the United States, asking how his hemispheric writing continues to extend and even alter the terrain often associated with Asian American literature
R v Ghosh [1982] 1 QB 1053, Court of Appeal
Essential Cases: Criminal Law provides a bridge between course textbooks and key case judgments. This case document summarizes the facts and decision in R v Ghosh [1982] 1 QB 1053, Court of Appeal. The document also included supporting commentary from author Jonathan Herring.</p
Ep. #040 - Amitav Ghosh
This recording and transcript form part of a collection of podcasts conducted by the Cultures of Energy at Rice University. Cultures of Energy brings writers, artists and scholars together to talk, think and feel their way into the Anthropocene. We cover serious issues like climate change, species extinction and energy transition. But we also try to confront seemingly huge and insurmountable problems with insight, creativity and laughter.Cymene and Dominic define (finally!) professionalism and offer a brief review of Leonardo DiCaprio’s soon to be released climate change documentary, Before the Flood. Then (11:43) we are very pleased to welcome to the podcast acclaimed novelist, Amitav Ghosh, author of The Shadow Lines (1988), The Hungry Tide (2004) and The Ibis trilogy (2008-2015), among many other works. We talk about his latest work of non-fiction, The Great Derangement: Climate Change and the Unthinkable (University of Chicago Press, 2016) and why he thinks it has proven so difficult to bring climate change into literature. We discuss the worldview of the novel and how its emphasis on creating believable narratives has excluded precisely the kinds of unlikely anthropocenic encounters that are becoming increasingly frequent across the world. Amitav argues that before an alternate world can become a reality, it needs to become an imaginative reality and this is why the arts are so crucial to coming to terms with the Anthropocene. We also discuss “serious” art’s fear of being deemed merely “illustrative” and how this may be linked to a Cold War aversion to the aesthetics of socialist realism. Now, Amitav warns, the world has risen up as a protagonist even as our means of representation aren’t up to engaging it. He predicts that the mansions of serious fiction will suffer a similar fate to the mansions of Miami beach as our waters rise. We talk about what is really being denied in climate change denial and how the privileges and comforts of a carbon-fueled lifestyle is something which neither the West nor Asia is prepared to give up. We close with Amitav’s own next novel project and how climate change inspires him personally and artistically
Stenotrophomonas maltophilia Phenotypic and Genotypic Diversity during a 10-year Colonization in the Lungs of a Cystic Fibrosis Patient
The present study was carried out to understand the adaptive strategies developed by Stenotrophomonas maltophilia for chronic colonization of the cystic fibrosis (CF) lung. For this purpose, 13 temporally isolated strains from a single CF patient chronically infected over a 10-year period were systematically characterized for growth rate, biofilm formation, motility, mutation frequencies, antibiotic resistance, and pathogenicity. Pulsed-field gel electrophoresis (PFGE) showed over time the presence of two distinct groups, each consisting of two different pulsotypes. The pattern of evolution followed by S. maltophilia was dependent on pulsotype considered, with strains belonging to pulsotype 1.1 resulting to be the most adapted, being significantly changed in all traits considered. Generally, S. maltophilia adaptation to CF lung leads to increased growth rate and antibiotic resistance, whereas both in vivo and in vitro pathogenicity as well as biofilm formation were decreased. Overall, our results show for the first time that S. maltophilia can successfully adapt to a highly stressful environment such as CF lung by paying a "biological cost," as suggested by the presence of relevant genotypic and phenotypic heterogeneity within bacterial population. S. maltophilia populations are, therefore, significantly complex and dynamic being able to fluctuate rapidly under changing selective pressures
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