scholarly journals On finitely graded Iwanaga-Gorenstein algebras and the stable categories of their (graded) Cohen-Macaulay modules

2020 ◽  
Vol 373 ◽  
pp. 107228
Author(s):  
Hiroyuki Minamoto ◽  
Kota Yamaura
2019 ◽  
Vol 150 (2) ◽  
pp. 955-974
Author(s):  
Zhenxing Di ◽  
Zhongkui Liu ◽  
Jiaqun Wei

AbstractWe apply the Auslander–Buchweitz approximation theory to show that the Iyama and Yoshino's subfactor triangulated category can be realized as a triangulated quotient. Applications of this realization go in three directions. Firstly, we recover both a result of Iyama and Yang and a result of the third author. Secondly, we extend the classical Buchweitz's triangle equivalence from Iwanaga–Gorenstein rings to Noetherian rings. Finally, we obtain the converse of Buchweitz's triangle equivalence and a result of Beligiannis, and give characterizations for Iwanaga–Gorenstein rings and Gorenstein algebras.


2016 ◽  
Vol 16 (09) ◽  
pp. 1750177 ◽  
Author(s):  
Sabine El Khoury ◽  
Hema Srinivasan

Let [Formula: see text] be a graded algebra with [Formula: see text] and [Formula: see text] being the minimal and maximal shifts in the minimal graded free resolution of [Formula: see text] at degree [Formula: see text]. We prove that [Formula: see text] for all [Formula: see text]. As a consequence, we show that for Gorenstein algebras of codimension [Formula: see text], the subadditivity of maximal shifts [Formula: see text] in the minimal graded free resolution holds for [Formula: see text], i.e. we show that [Formula: see text] for [Formula: see text].


2018 ◽  
Vol 326 ◽  
pp. 200-240 ◽  
Author(s):  
Osamu Iyama ◽  
Øyvind Solberg
Keyword(s):  

Author(s):  
Lisa Mohn

This paper focuses on the views of Human Resource (HR) managers about the implementation of work life balance (WLB) initiatives. Increasingly, WLB has become an important part of employment relations discussion and knowledge. The literature presents two key themes in terms of how this is implemented in practice. Firstly there was a corporate theme, where WLB is developed and applied from within the organisation. In the second theme WLB is developed and applied in tripartite partnership. The literature showed the New Zealand (NZ) experience is confused as to which path it is following. Thus, the purpose of this study was to explore the views of HR managers in NZ government funded tertiary institutions about the implementation of WLB practices. The research involved 3 in-depth, semi-structured interviews, which were then transcribed, analysed and compared until stable categories emerged. The findings reflected the confusion found in the literature. Approaches and knowledge of WLB were standardised and essentially uniform; there was much pride and satisfaction in achievements, both individual and corporately: and despite being government funded, the organisations reflected a corporatist theme in their approach to WLB. In summary, regardless of the rhetoric of WLB as positive to workers regaining balance in their lives, the research showed in practice it was 'a wolf in sheep's clothing' -- more beneficial for the organisations in terms of increasing worker productivity, than for the workers.


2004 ◽  
Vol 11 (1) ◽  
pp. 22-27 ◽  
Author(s):  
Peter Vermeersch

What scholars are committed to in principle is not always what they are likely to uphold in practice. Adam T. Smith examines – and deplores – the striking discrepancy between the centrality of the constructivist idiom in a variety of disciplines and the tendency of archaeologists to continue to treat archaeological subjects (be they ethnic groups, classes, nations, races, cultures or any other kind of identity group) as given entities and stable units of analysis. Smith's concern is not merely about the consistency of the discipline's theoretical underpinnings. In fact, his greatest worry turns out to be political: an archaeology that reconstitutes, rather than deconstructs, the essential subject may be wrongly used as a foundation for contemporary political action (such as nationalism). Thus he invites archaeologists to revise the relationship between scholarly analysis and political practice. Smith not only suggests taking into full account the malleability of identity groups in relation to changing sociopolitical contexts, but he also incites scholars to bend their minds to the sociopolitical circumstances within which seemingly stable categories of identity are produced. Archaeologists should be careful not to ‘essentialize’ identities, he concludes, but instead shift their attention to exposing the strategic practices deployed by those who do ‘essentialize’ identities.


In 20th-century Mexico, as in many other places, consumer culture and mass media have shaped everyday experiences, helped give meaning to ordinary lives, and opened up spaces in which political ideologies could be created and contested. Cultural forms such as dance, song, cuisine, clothing, and sports have been deployed to distinguish regions from one another, while at the same time, print media, radio, television, recorded music, film, and other cultural forms have connected Mexicans across regional and international borders (and across lines of gender, class, ethnicity, language, religion, political affiliation, and more) from the 1880s to the present day. Consumer culture—meaning the distribution, sale, and use of mass-produced goods such as clothing, as well as agricultural commodities like sugar and coffee—linked Mexico to a wider world in the historical era in which Mexico joined in the global process of rapid-fire modernization. The study of mass media and consumer culture in Mexico has been, at its best, highly interdisciplinary: historians and art historians, literary critics and cinema studies specialists, sociologists, and ethnographers have worked with journalists, folklorists, ethnomusicologists, and others in developing a sophisticated scholarly literature. This literature has its roots in two interrelated schools of scholarship: one that interpreted the products of culture industries as well as the creativity of ordinary people in a search for clues to Mexican national identity, and another that interpreted both locally made and imported mass media to understand how they shaped and supported the political, social, and economic status quo, both locally and globally. Since the 1980s, however, scholarly attention has broadened its focus from the images, narratives, movements, sounds, and objects produced by Mexican and foreign culture industries, and recent scholarship has looked to processes of creation, distribution, criticism, and consumption as well. Identities—whether regional, national, local, ideological, sexual, or political—are no longer understood as stable categories, but rather as a highly contested set of ideas, stories, and pictures that have changed radically over time. Much scholarship on mass media and consumer culture now begins with the understanding that culture industries have provided the tools with which discourses of identity could be shaped and reshaped, and that audiences and consumers have sometimes picked up those tools and turned them to their own purposes. And they have moved beyond taking the nation as a central category of analysis to ask how Mexican consumers and culture industries have participated in international and transnational processes of modernization.


Deadly Virtue ◽  
2019 ◽  
pp. 141-168
Author(s):  
Heather Martel

In addition to assessing the hygienic customs of Indigenous people, these sources catalogued visual clues defining who were graced or damned according to Calvinists’ predestinarian framework. Travelers in Florida and the Atlantic world divided humanity into two stable categories that people were born into: elect “visible saints,” the reformed Christians, and damned, visible idolaters, cannibals, sodomites, and other heretics, including Catholics. Though they hoped to meet elect members among Indigenous people, they met with resistance to Christianity that they interpreted as a lack of grace.


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