scholarly journals Regular projective resolutions OF SEMIMODULES

2017 ◽  
Vol 126 (1B) ◽  
pp. 43
Author(s):  
Ho Xuan Thang ◽  
Nguyen Xuan Tuyen
Keyword(s):  
Comparison Theorem ◽  
Projective Resolution ◽  
Projective Resolutions

In this paper, we present an approach version of semimodule homologies by regular projective resolutions such as define a concept of a regular projective resolution, prove the comparison theorem for semimodules by these resolutions and based them provide cohomology monoids of semimodules.

scholarly journals Regular projective resolutions OF SEMIMODULES

2017 ◽  
Vol 126 (1B) ◽  
Author(s):  
Nguyễn Xuân Tuyến
Keyword(s):  
Comparison Theorem ◽  
Projective Resolution ◽  
Projective Resolutions

In this paper, we present an approach version of semimodule homologies by regular projective resolutions such as define a concept of a regular projective resolution, prove the comparison theorem for semimodules by these resolutions and based them provide cohomology monoids of semimodules.

scholarly journals Generating degrees for graded projective resolutions

2018 ◽  
Vol 17 (10) ◽  
pp. 1850191 ◽  
Author(s):  
Eduardo N. Marcos ◽  
Andrea Solotar ◽  
Yury Volkov
Keyword(s):  
Tensor Products ◽  
Projective Resolution ◽  
Graded Algebras ◽  
Graded Modules ◽  
Projective Resolutions

We provide a framework connecting several well-known theories related to the linearity of graded modules over graded algebras. In the first part, we pay a particular attention to the tensor products of graded bimodules over graded algebras. Finally, we provide a tool to evaluate the possible degrees of a module appearing in a graded projective resolution once the generating degrees for the first term of some particular projective resolution are known.

scholarly journals Projective resolutions for graph products

1995 ◽  
Vol 38 (1) ◽  
pp. 185-188 ◽  
Author(s):  
Daniel E. Cohen
Keyword(s):  
Normal Subgroup ◽  
Free Product ◽  
Finite Graph ◽  
Projective Resolution ◽  
Graph Products ◽  
Graph Product ◽  
Projective Resolutions

Let Γ be a finite graph together with a group Gv at each vertex v. The graph productG(Γ) is obtained from the free product of all Gv by factoring out by the normal subgroup generated by for all adjacent v, w.In this note we construct a projective resolution for G(Γ) given projective resolutions for each Gv, and obtain some applications.

scholarly journals A comparison theorem

1985 ◽  
Vol 106 (1) ◽  
pp. 188-195
Author(s):  
Walter Leighton
Keyword(s):  
Comparison Theorem

scholarly journals A representation theorem for the linear quasi-differential equation(py′)′+qy=0

2000 ◽  
Vol 23 (8) ◽  
pp. 579-584
Author(s):  
J. G. O'Hara
Keyword(s):  
Differential Equation ◽  
Comparison Theorem ◽  
Simple Proof ◽  
Representation Theorem ◽  
Second Order ◽  
Order Linear

We establish a representation forqin the second-order linear quasi-differential equation(py′)′+qy=0. We give a number of applications, including a simple proof of Sturm's comparison theorem.

scholarly journals Projective Resolutions of Generic Order Ideals

1997 ◽  
Vol 191 (1) ◽  
pp. 279-330
Author(s):  
Saeja Oh Kim
Keyword(s):  
Projective Resolutions ◽  
Order Ideals

scholarly journals Cohomological comparison theorem

2015 ◽  
Vol 219 (12) ◽  
pp. 5573-5589
Author(s):  
Edward L. Green ◽  
Dag Oskar Madsen ◽  
Eduardo Marcos
Keyword(s):  
Comparison Theorem
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