English

Third Mac Lane cohomology

K-Theory and Homology 2007-05-23 v3 Algebraic Topology

Abstract

Based on the computation of the third author we obtain an interpretation of the third Mac Lane cohomology of rings using certain kind of crossed extensions of rings in the quadratic world. Actually we obtain two such interpretations corresponding to the two monoidal structures on the category of square groups

Keywords

Cite

@article{arxiv.math/0604447,
  title  = {Third Mac Lane cohomology},
  author = {H. -J. Baues and M. Jibladze and T. Pirashvili},
  journal= {arXiv preprint arXiv:math/0604447},
  year   = {2007}
}