scholarly journals KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS

2010 ◽  
Vol 89 (1) ◽  
pp. 23-49 ◽  
Author(s):  
VOLODYMYR MAZORCHUK

AbstractWe give a complete picture of the interaction between the Koszul and Ringel dualities for graded standardly stratified algebras (in the sense of Cline, Parshall and Scott) admitting linear tilting (co)resolutions of standard and proper costandard modules. We single out a certain class of graded standardly stratified algebras, imposing the condition that standard filtrations of projective modules are finite, and develop a tilting theory for such algebras. Under the assumption on existence of linear tilting (co)resolutions we show that algebras from this class are Koszul, that both the Ringel and Koszul duals belong to the same class, and that these two dualities on this class commute.

CFA Digest ◽  
2003 ◽  
Vol 33 (2) ◽  
pp. 96-96
Author(s):  
Stephen M. Horan

2009 ◽  
pp. 129-132
Author(s):  
B. M. Mirkin ◽  
V. B. Martynenko ◽  
S. M. Yamalov

Peer-reviewed monograph opens with a Foreword by V. P. Sedelnikov "From the editor", wh ere it is reported that this is the first book in a new series "Vegetation of Siberia", "In the context of biodiversity conservation and the growing interest in rare plants and communities need to give the most complete picture of the phytocoenotic diversity of Siberia. To further summarize knowledge of vegetation is important to the publication of primary data arrays of geobotanical descriptions on all types of communities."


2021 ◽  
Vol 82 (1) ◽  
Author(s):  
Javier Gutiérrez García ◽  
Ulrich Höhle ◽  
Tomasz Kubiak

2021 ◽  
Vol 10 (15) ◽  
pp. 3251
Author(s):  
Juan J. Gagliardino ◽  
Martin R. Salazar ◽  
Walter G. Espeche ◽  
Paula E. Tolosa Chapasian ◽  
Daniela Gomez Gomez Garizoain ◽  
...  

Aims: To evaluate arterial stiffness indicators in people with prediabetes (PreD) and its possible pathogenesis. Materials and methods: Pulse wave velocity (PWV) was measured in 208 people with FINDRISC ≥ 13 (57 ± 8 years old, 68.7% women) and thereafter divided into those having either normal glucose tolerance (NGT) or PreD. In each subgroup we also identified those with/out insulin resistance (IR) measured by the triglyceride/HDL-c ratio (normal cut off values previously established in our population). Clinical and metabolic data were collected for all participants. PWV was compared between subgroups using independent t test. Results: Women and men had comparable clinical and metabolic characteristics with obesity (BMI ≥ 30) and antihypertensive-statin treatment, almost half with either NGT or PreD. Whereas 48% of NGT people presented IR (abnormally high TG/HDL-c ratio), 52% had PreD. PWV was significantly higher only in those with a complete picture of metabolic syndrome (MS). Conclusions: Since PWV was significantly impaired in people with a complete picture of MS, clinicians must carefully search for early diagnosis of this condition and prescribe a healthy life-style to prevent development/progression of CVD. This proactive attitude would provide a cost-effective preventive strategy to avoid CVD’s negative impact on patients’ quality of life and on health systems due to their higher care costs.


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