Bibliographic Details
| Title: |
Universal cohomology theories. |
| Authors: |
Barbieri-Viale, Luca1 (AUTHOR) |
| Superior Title: |
Communications in Algebra. 2023, Vol. 51 Issue 8, p3314-3345. 32p. |
| Subject Terms: |
*COHOMOLOGY theory, *HOMOLOGY theory, *COMMUTATIVE rings, *ABELIAN categories, *YIELD strength (Engineering) |
| Abstract: |
We furnish any category of a universal (co)homology theory. Universal (co)homologies and universal relative (co)homologies are obtained by showing representability of certain functors and take values in R-linear abelian categories of motivic nature, where R is any commutative unitary ring. Universal homology theory on the one point category yields "hieratic" R-modules, i.e. the indization of Freyd's free abelian category on R. Grothendieck ∂ -functors and satellite functors are recovered as certain additive relative homologies on an abelian category for which we also show the existence of universal ones. [ABSTRACT FROM AUTHOR] |
|
Copyright of Communications in Algebra is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Academic Search Premier |
