2017
Том 69
№ 9

All Issues

Preacyclicity over the rings with infinite fields of residues

Zainalov B. R.


Abstract

We consider a simplicial scheme, its geometric realization, and the required properties of the simplicial scheme of unimodal frames and prove both a sufficiently strong theorem on acyclicity for the simplicial scheme of unimodal frames and a theorem stating that the first nontrivial group of homologies is generated by standard cycles over the rings with infinite fields of residues.

Citation Example: Zainalov B. R. Preacyclicity over the rings with infinite fields of residues // Ukr. Mat. Zh. - 2016. - 68, № 2. - pp. 202-216.