Path:  Home   >  On a version of homological algebra in the category of semimodules and its applications
 
On a version of homological algebra in the category of semimodules and its applications
 
 
Description: 

We develop a version of homological algebra for semimodules which enables us to:

(1) introduce new cohomology monoids of an arbitrary monoid M with coefficients in semimodules over M as more computable alternatives to the old ones,

(2) construct singular homology and cohomology monoids of topological spaces with coefficients in abelian monoids so that the homotopy axiom holds,

(3) generalize the construction of derived functors via simplicial resolutions to semimodule-valued functors. Some other applications of our approach are also presented.

 

Date:  2016-02-16
Start Time:   14:30
Speaker:  Alex Patchkoria (A. Razmadze Math. Institute of Tbilisi State Univ., Georgia)
Institution:  A. Razmadze Mathematical Institute of Tbilisi State University, Georgia
Place:  Sala 5.5
Research Groups: -Algebra, Logic and Topology
See more:   <Main>  
 
     
© 2012 Centre for Mathematics, University of Coimbra, funded by

Science and Technology Foundation

Powered by: rdOnWeb v1.4 | technical support