Global dimensions of dual extension algebras

1995 ◽  
Vol 88 (1) ◽  
pp. 25-31 ◽  
Author(s):  
Changchang Xi
Keyword(s):  
Dual Extension

scholarly journals Jordan derivations of generalized one point extensions

Filomat ◽  
2018 ◽  
Vol 32 (11) ◽  
pp. 4089-4098 ◽  
Author(s):  
Yanbo Li ◽  
Feng Wei
Keyword(s):  
Jordan Derivation ◽  
Point Extension ◽  
Dual Extension ◽  
Extension Algebra

For a generalized one-point extension algebra, it is proved that under certain conditions, each Jordan derivation is the sum of a derivation and an anti-derivation. Moreover, we prove that every Jordan derivation of a dual extension algebra is a derivation.

Finite generation of the cohomology rings for the extension algebras of monomial algebras

2022 ◽  
Author(s):  
Hongbo Shi
Keyword(s):  
Cohomology Ring ◽  
Minimal Resolution ◽  
Finitely Generated ◽  
Finite Generation ◽  
Cohomology Rings ◽  
Monomial Algebra ◽  
Monomial Algebras ◽  
Resolution Graph ◽  
Dual Extension

We describe the cohomology ring of a monomial algebra in the language of dimension tree or minimal resolution graph and in this context we study the finite generation of the cohomology rings of the extension algebras, showing among others that the cohomology ring [Formula: see text] is finitely generated [Formula: see text] is [Formula: see text] is, where [Formula: see text] is the dual extension of a monomial algebra [Formula: see text] and [Formula: see text] is the opposite algebra of [Formula: see text].

scholarly journals Hypercomplex Algebras and Calculi Derived from Generalized Kinematics

2021 ◽  
Author(s):  
Danail Brezov
Keyword(s):  
Parallel Transport ◽  
Holomorphic Functions ◽  
Smooth Curves ◽  
Commutative Algebras ◽  
Cartan Form ◽  
Physical Problems ◽  
Analytical Properties ◽  
Dual Extension ◽  
Real Forms ◽  
Complex Cases

The paper provides a study of the commutative algebras generated by iteration of the cross products in $\mathbb{C}^3$. Focusing on particular real forms we also consider the analytical properties of the corresponding rings of functions and relate them to different physical problems. Familiar results from the theory of holomorphic and bi-holomorphic functions appear naturally in this context, but new types of hypercomplex calculi emerge as well. The parallel transport along smooth curves in $\mathbb{E}^3$ and the associated Maurer-Cartan form are also studied with examples from kinematics and electrodynamics. Finally, the dual extension is discussed in the context of screw calculus and Galilean mechanics; a similar construction is studied also in the multi-dimensional real and complex cases.

Design Application of LQS20000 Column Strength Test Bench

2013 ◽  
Vol 744 ◽  
pp. 128-131
Author(s):  
Peng Fei Lui ◽  
Xiao Wei Shao ◽  
Xiang Hui Meng
Keyword(s):  
Test Bench ◽  
Strength Test ◽  
Loading Test ◽  
Hydraulic Support ◽  
Cylinder Strength ◽  
Stable Performance ◽  
Dual Extension ◽  
Working Resistance ◽  
Test Requirements ◽  
New Criterion

Analyzed the trend of the development of hydraulic powered support and column, this paper designs a column strength test bench with 20000KN working resistance which combined with the new release of GB25974.2-2010 for coal mine hydraulic support and jack technical conditions of Part 2 standard requirements. Through the practical application, it turned out that the test bench has reasonable structure, stable performance and it can meet all of the following Ф630 bore hydraulic support column factory test requirements. The trend of the mine-used hydraulic support column and the performed new criterion demands manufacturers to enhance the ability of test equipment. In this situation, the 20000KN column strength test bench our company designed and manufactured not only do the loading test, but also apply external load at columns by simulating the actual working conditions, which is essential to Inspection and testing of dual-extension hydraulic columns middle cylinder strength.

Hyperstonean cover and second dual extension

1988 ◽  
Vol 51 (1-2) ◽  
pp. 125-149 ◽  
Author(s):  
V. K. Zaharov
Keyword(s):  
Second Dual ◽  
Dual Extension

Koszulity and Koszul modules of dual extension algebras

2017 ◽  
Vol 12 (3) ◽  
pp. 583-596
Author(s):  
Huanhuan Li ◽  
Yunge Xu
Keyword(s):  
Dual Extension
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