scholarly journals Hochschild homology and global dimension

2009 ◽  
Vol 41 (3) ◽  
pp. 473-482 ◽  
Author(s):  
Petter Andreas Bergh ◽  
Dag Madsen
Keyword(s):  
Global Dimension ◽  
Hochschild Homology

Elementary Superalgebras

2012 ◽  
Vol 19 (04) ◽  
pp. 673-682
Author(s):  
Bo Hou ◽  
Shilin Yang
Keyword(s):  
Weight Function ◽  
Global Dimension ◽  
Hochschild Homology ◽  
Trace Function ◽  
Finite Global Dimension ◽  
Finite Dimensional ◽  
Complete Set

Let Λ be a finite-dimensional superalgebra over a field K. A characterization of an elementary superalgebra Λ is given by a quiver and a weight function. It is shown that Λ is elementary if and only if its Hochschild extension is elementary. Furthermore, if Λ is elementary of finite global dimension and {e1, …, en} is a complete set of gr-primitive orthogonal idempotents of Λ, then the following equalities hold: [Formula: see text] where ΦΛ is the Coxeter matrix of Λ, tr is the trace function of a matrix, HHi(Λ) and HHi(Λ) are the i-th Hochschild homology and cohomology, respectively.

DEVELOPMENT OF THE WORLD MARKET OF SERVICES IN TURBULENCE CONDITIONS AND CHANGES

2017 ◽  
Author(s):  
Larysa Nosach ◽  
◽  
Victoria Morgun ◽  
Keyword(s):  
Economic Development ◽  
International Trade ◽  
Service Sector ◽  
World Market ◽  
Global Dimension ◽  
Trade In Services ◽  
Current State ◽  
The World

The author's research of the current state and features of the development of the world market for services in conditions of turbulence of world processes was carried; the world leaders of the service sector in the global dimension and leaders of the most dynamic articles of service categories were identified; the share of world exports of services by countries by the level of their economic development was justified; weaknesses in the assessment of indicators of international trade in services were identified; the research is based on UNCTAD statistics.

scholarly journals Subtitling Calligraphy

2021 ◽  
Vol 1 (1) ◽  
pp. 115-133
Author(s):  
Markus Nornes
Keyword(s):  
East Asia ◽  
Human Body ◽  
Chinese Character ◽  
Intimate Relationship ◽  
Global Dimension ◽  
Written Language ◽  
Chinese Cinema ◽  
Specific Difference ◽  
Art Forms ◽  
Sister Arts

Abstract This essay examines a regional, not global, dimension of Chinese cinema: the Chinese character in its brushed form. Calligraphy and cinema have an intimate relationship in East Asia. Indeed, the ubiquity of the brushed word in cinema is one element that actually ties works in Korean, Japanese and Sinophone Asia together as a regional cinema. At the same time, I will explore the very specific difference of Chinese filmmakers’ use of written language. On first glance, cinema and calligraphy would appear as radically different art forms. On second glance, they present themselves as sister arts. Both are art forms built from records of the human body moving in (an absent) time and space. The essay ends with a consideration of subtitling, upon which Chinese cinema’s global dimension is predicated. How does investigating this very problem lead us to rethinking the nature of the cinematic subtitle, which is very much alive―a truly movable type?

scholarly journals ‘A Most Select Gathering’. Mexican National Pilgrimages to Rome during the Papacy of Leo XIII

Religions ◽  
2021 ◽  
Vol 12 (7) ◽  
pp. 475
Author(s):  
Francisco Javier Ramón Solans
Keyword(s):  
Nineteenth Century ◽  
National Identity ◽  
Global Dimension ◽  
National Identities ◽  
Primary Sources ◽  
Holy See

The objective of this article is to analyse Mexican national pilgrimages to Rome that took place during the pontificate of Leo XIII (1878–1903). These pilgrimages occurred in the context of a global Catholic mobilisation in support of the papacy, during the so-called Roman Question. This paper’s analysis of these pilgrimages draws from historiography about national pilgrimages, as well as studies on Catholic mobilisation in support of the pope in the second half of the nineteenth century. It is fundamentally based on primary sources of an official nature, such as reports and other printed documents produced on the occasion of the pilgrimage. The study’s primary conclusion is that national pilgrimages to Rome had a polysemic character since they brought together various religious and national identities. The pilgrimages contributed simultaneously to reinforcing the link between Catholicism and Mexican national identity and the global dimension of Catholicism and allegiance to the Holy See.

The Corporate Governance of Environmental Sustainability: A Review and Proposal for More Integrated Research

2021 ◽  
pp. 014920632199121
Author(s):  
Ruth V. Aguilera ◽  
J. Alberto Aragón-Correa ◽  
Valentina Marano ◽  
Peter A. Tashman
Keyword(s):  
Corporate Governance ◽  
Environmental Sustainability ◽  
Boards Of Directors ◽  
Global Dimension ◽  
Top Management Teams ◽  
Future Research ◽  
Environmental Initiatives ◽  
Integrative Framework ◽  
Integrated Research ◽  
Systematic Understanding

As corporations’ environmental impact comes under greater scrutiny by global financial, regulatory, and societal stakeholders, management scholars have increasingly focused on the role of corporate governance as a tool for driving environmental initiatives. Still, we lack a comprehensive and systematic understanding of this emergent body of inquiry and a holistic agenda for future research. To address this gap, our integrative framework relates the key corporate governance actors to environmental sustainability outcomes from the extant literature and highlights its main methodological approaches and theoretical arguments. Our framework provides a critical analysis of what we know and points to the knowledge gaps around owners, boards of directors, CEOs, top management teams, and employees as corporate governance actors. We then highlight limitations in the existing literature as significant opportunities for further research to resolve its ambiguous conceptualizations of environmental sustainability constructs, various methodological and theoretical challenges, incomplete engagement with the global dimension of environmental sustainability, and limited analysis of how corporate governance actors may interact to shape environmental sustainability outcomes. We conclude by proposing novel approaches for addressing these issues, which we believe could generate a better way forward on studying the corporate governance of environmental sustainability.

scholarly journals Dominant and global dimension of blocks of quantised Schur algebras

2021 ◽  
Author(s):  
Ming Fang ◽  
Wei Hu ◽  
Steffen Koenig
Keyword(s):  
Hecke Algebras ◽  
Symmetric Groups ◽  
Global Dimension ◽  
Group Algebras ◽  
Dominant Dimension ◽  
Schur Algebras ◽  
Homological Dimensions ◽  
Weyl Duality

AbstractGroup algebras of symmetric groups and their Hecke algebras are in Schur-Weyl duality with classical and quantised Schur algebras, respectively. Two homological dimensions, the dominant dimension and the global dimension, of the indecomposable summands (blocks) of these Schur algebras S(n, r) and $$S_q(n,r)$$ S q ( n , r ) with $$n \geqslant r$$ n ⩾ r are determined explicitly, using a result on derived invariance in Fang, Hu and Koenig (J Reine Angew Math 770:59–85, 2021).

scholarly journals Artin rings of global dimension two

1985 ◽  
Vol 92 (2) ◽  
pp. 375-379 ◽  
Author(s):  
Edward L Green ◽  
William H Gustafson ◽  
Dan Zacharia
Keyword(s):  
Global Dimension

scholarly journals DETECTING TORSION IN SKEIN MODULES USING HOCHSCHILD HOMOLOGY

2006 ◽  
Vol 15 (02) ◽  
pp. 259-277 ◽  
Author(s):  
MICHAEL McLENDON
Keyword(s):  
Tensor Product ◽  
Spectral Sequence ◽  
Boundary Surface ◽  
Hochschild Homology ◽  
Heegaard Splitting ◽  
Common Boundary ◽  
Skein Modules ◽  
Skein Module ◽  
Hochschild Complex

Given a Heegaard splitting of a closed 3-manifold, the skein modules of the two handlebodies are modules over the skein algebra of their common boundary surface. The zeroth Hochschild homology of the skein algebra of a surface with coefficients in the tensor product of the skein modules of two handlebodies is interpreted as the skein module of the 3-manifold obtained by gluing the two handlebodies together along this surface. A spectral sequence associated to the Hochschild complex is constructed and conditions are given for the existence of algebraic torsion in the completion of the skein module of this 3-manifold.

Global dimension of rings with krull dimension

1992 ◽  
Vol 20 (10) ◽  
pp. 2863-2876 ◽  
Author(s):  
John J. Koker
Keyword(s):  
Global Dimension ◽  
Krull Dimension
Sign in / Sign up

Export Citation Format

Share Document