scholarly journals A structure result for Gorenstein algebras of odd codimension

2021 ◽  
Author(s):  
Isabel Stenger
Keyword(s):  
Gorenstein Algebras ◽  
Structure Result

scholarly journals A note on the subadditivity of Syzygies

2016 ◽  
Vol 16 (09) ◽  
pp. 1750177 ◽  
Author(s):  
Sabine El Khoury ◽  
Hema Srinivasan
Keyword(s):  
Free Resolution ◽  
Graded Algebra ◽  
Gorenstein Algebras

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].

scholarly journals Synthesis, Crystal Structure and Magnetic Properties of Bixbyite-type Vanadium Oxide Nitrides

2009 ◽  
Vol 64 (3) ◽  
pp. 281-286 ◽  
Author(s):  
Suliman Nakhal ◽  
Wilfried Hermes ◽  
Thorsten Ressler ◽  
Rainer Pöttgen ◽  
Martin Lerch
Keyword(s):  
Crystal Structure ◽  
Vanadium Oxide ◽  
Magnetic Ordering ◽  
Vanadium Oxides ◽  
Detectable Amount ◽  
X Ray Diffraction ◽  
X Ray ◽  
Vanadium Sulfide ◽  
Structure Result ◽  
X Ray Absorption

Ammonolysis of vanadium sulfide leads to the formation of bixbyite-type vanadium oxide nitrides. Small amounts of nitrogen incorporated in the structure result in the stabilization of the bixbyite type not known for vanadium oxides. The crystal structure was investigated using X-ray diffraction and X-ray absorption spectroscopy. At temperatures above 550 °C the powders decompose to corundumtype V2O3 containing no detectable amount of nitrogen. Below 39 K magnetic ordering is observed.

Prediction of Fluid Flow in Artificial Cancellous Bone

2014 ◽  
Vol 695 ◽  
pp. 393-397
Author(s):  
Elsa Syuhada Abdull Yamin ◽  
Nor Azwadi Che Sidik
Keyword(s):  
Fluid Flow ◽  
Pore Size ◽  
Surface Area ◽  
Pore Diameter ◽  
Bone Surface ◽  
Flow Conditions ◽  
Morphological Aspects ◽  
Flow Through ◽  
Structure Result ◽  
Dynamics Method

The permeability of the blood in the artificial cancellous are affected by certain morphological aspects that include pore diameter, pore size, porosity and the bone surface area. In this study, computational fluid dynamics method is used to study the fluid flow through the cancellous structure. Result of the present work show that geometries with the same porosity and overall volume can have different permeability due to the differences in bone surface area. The hexahedron geometry has the highest permeability under stimulated blood flow conditions, where the cylindrical geometry has the lowest. Linear relationship is found between permeability and the two physical properties, bone surface area and the pore size.

scholarly journals Auslander–Gorenstein algebras and precluster tilting

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

Lysozyme Treatment Makes 16S rRNA Amplicon Sequencing Results Less Biased

2021 ◽  
Author(s):  
Yuting Jiao ◽  
Zijie Gao ◽  
Shiyu Gui ◽  
Lu Ren ◽  
Yongyue Lu ◽  
...  
Keyword(s):  
Structure Analysis ◽  
Community Analysis ◽  
Amplicon Sequencing ◽  
Microbial Community Analysis ◽  
Effective Agent ◽  
Gram Positive ◽  
Gram Positive Bacteria ◽  
16S Rrna Amplicon Sequencing ◽  
Structure Result ◽  
Total Bacteria

Abstract Background Amplicon sequencing is widely applied in gut bacteria structure analysis. However, the proportion of Gram-positive bacteria may greatly affect the results of microbial community analysis. Lysozyme is an effective agent to extract DNA of Gram-positive bacteria. In this study, we assessed the influence of lysozyme treatment on results of Bactrocere dorsalis rectal bacteria structure. Result The results indicated that the total bacteria content can be significantly increased in lysozyme treated samples. Moreover, rectal bacteria diversity was significantly higher in lysozyme treated samples. A detail analysis revealed that abundance of Gram-positive bacteria significantly increased in samples treated with lysozyme. Conclusion This study indicates that lysozyme treatment before DNA extraction is an effective way to reduce bias in bacteria structure analysis, especially for samples with high proportion of Gram-positive bacteria.

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